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Finding the Third Proportional to 687,834 and 917,356.50

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Solution

The third proportional to 687,834 and 917,356.50 is: 1,223,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,834 : 917,356.50 = 917,356.50 : x
  2. Step 2: Convert to fraction form
    687,834/917,356.50 = 917,356.50/x
  3. Step 3: Cross multiply
    687,834x = 917,356.50 × 917,356.50
  4. Step 4: Simplify right side
    687,834x = 841,542,948,092.25
  5. Step 5: Solve for x
    x = 841,542,948,092.25/687,834
  6. Step 6: Final answer
    x = 1,223,468.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.