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Finding the Third Proportional to 482,439 and 720,013.50

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Solution

The third proportional to 482,439 and 720,013.50 is: 1,074,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,439 : 720,013.50 = 720,013.50 : x
  2. Step 2: Convert to fraction form
    482,439/720,013.50 = 720,013.50/x
  3. Step 3: Cross multiply
    482,439x = 720,013.50 × 720,013.50
  4. Step 4: Simplify right side
    482,439x = 518,419,440,182.25
  5. Step 5: Solve for x
    x = 518,419,440,182.25/482,439
  6. Step 6: Final answer
    x = 1,074,580.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.