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Finding the Third Proportional to 474,336,436.50 and 708,714,582.75

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Solution

The third proportional to 474,336,436.50 and 708,714,582.75 is: 1,058,903,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,336,436.50 : 708,714,582.75 = 708,714,582.75 : x
  2. Step 2: Convert to fraction form
    474,336,436.50/708,714,582.75 = 708,714,582.75/x
  3. Step 3: Cross multiply
    474,336,436.50x = 708,714,582.75 × 708,714,582.75
  4. Step 4: Simplify right side
    474,336,436.50x = 502,276,359,802,506,624
  5. Step 5: Solve for x
    x = 502,276,359,802,506,624/474,336,436.50
  6. Step 6: Final answer
    x = 1,058,903,177.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.