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Finding the Third Proportional to 472,976.72 and 708,770.25

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Solution

The third proportional to 472,976.72 and 708,770.25 is: 1,062,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,976.72 : 708,770.25 = 708,770.25 : x
  2. Step 2: Convert to fraction form
    472,976.72/708,770.25 = 708,770.25/x
  3. Step 3: Cross multiply
    472,976.72x = 708,770.25 × 708,770.25
  4. Step 4: Simplify right side
    472,976.72x = 502,355,267,285.06
  5. Step 5: Solve for x
    x = 502,355,267,285.06/472,976.72
  6. Step 6: Final answer
    x = 1,062,114.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.