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Finding the Third Proportional to 513,839 and 730,380

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Solution

The third proportional to 513,839 and 730,380 is: 1,038,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,839 : 730,380 = 730,380 : x
  2. Step 2: Convert to fraction form
    513,839/730,380 = 730,380/x
  3. Step 3: Cross multiply
    513,839x = 730,380 × 730,380
  4. Step 4: Simplify right side
    513,839x = 533,454,944,400
  5. Step 5: Solve for x
    x = 533,454,944,400/513,839
  6. Step 6: Final answer
    x = 1,038,175.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.