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Finding the Third Proportional to 605,921.50 and 921,472

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Solution

The third proportional to 605,921.50 and 921,472 is: 1,401,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,921.50 : 921,472 = 921,472 : x
  2. Step 2: Convert to fraction form
    605,921.50/921,472 = 921,472/x
  3. Step 3: Cross multiply
    605,921.50x = 921,472 × 921,472
  4. Step 4: Simplify right side
    605,921.50x = 849,110,646,784
  5. Step 5: Solve for x
    x = 849,110,646,784/605,921.50
  6. Step 6: Final answer
    x = 1,401,354.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.