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Finding the Third Proportional to 466,902.75 and 704,640

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Solution

The third proportional to 466,902.75 and 704,640 is: 1,063,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,902.75 : 704,640 = 704,640 : x
  2. Step 2: Convert to fraction form
    466,902.75/704,640 = 704,640/x
  3. Step 3: Cross multiply
    466,902.75x = 704,640 × 704,640
  4. Step 4: Simplify right side
    466,902.75x = 496,517,529,600
  5. Step 5: Solve for x
    x = 496,517,529,600/466,902.75
  6. Step 6: Final answer
    x = 1,063,428.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.