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Finding the Third Proportional to 473,598 and 708,192

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Solution

The third proportional to 473,598 and 708,192 is: 1,058,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,598 : 708,192 = 708,192 : x
  2. Step 2: Convert to fraction form
    473,598/708,192 = 708,192/x
  3. Step 3: Cross multiply
    473,598x = 708,192 × 708,192
  4. Step 4: Simplify right side
    473,598x = 501,535,908,864
  5. Step 5: Solve for x
    x = 501,535,908,864/473,598
  6. Step 6: Final answer
    x = 1,058,990.77

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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.