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Finding the Third Proportional to 368,532 and 563,472

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Solution

The third proportional to 368,532 and 563,472 is: 861,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,532 : 563,472 = 563,472 : x
  2. Step 2: Convert to fraction form
    368,532/563,472 = 563,472/x
  3. Step 3: Cross multiply
    368,532x = 563,472 × 563,472
  4. Step 4: Simplify right side
    368,532x = 317,500,694,784
  5. Step 5: Solve for x
    x = 317,500,694,784/368,532
  6. Step 6: Final answer
    x = 861,528.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.