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Finding the Third Proportional to 478,786.50 and 711,397

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Solution

The third proportional to 478,786.50 and 711,397 is: 1,057,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,786.50 : 711,397 = 711,397 : x
  2. Step 2: Convert to fraction form
    478,786.50/711,397 = 711,397/x
  3. Step 3: Cross multiply
    478,786.50x = 711,397 × 711,397
  4. Step 4: Simplify right side
    478,786.50x = 506,085,691,609
  5. Step 5: Solve for x
    x = 506,085,691,609/478,786.50
  6. Step 6: Final answer
    x = 1,057,017.46

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