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Finding the Third Proportional to 510,598.69 and 693,787.78

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Solution

The third proportional to 510,598.69 and 693,787.78 is: 942,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,598.69 : 693,787.78 = 693,787.78 : x
  2. Step 2: Convert to fraction form
    510,598.69/693,787.78 = 693,787.78/x
  3. Step 3: Cross multiply
    510,598.69x = 693,787.78 × 693,787.78
  4. Step 4: Simplify right side
    510,598.69x = 481,341,485,411.80
  5. Step 5: Solve for x
    x = 481,341,485,411.80/510,598.69
  6. Step 6: Final answer
    x = 942,700.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.