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Finding the Third Proportional to 357,698 and 484,059

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Solution

The third proportional to 357,698 and 484,059 is: 655,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,698 : 484,059 = 484,059 : x
  2. Step 2: Convert to fraction form
    357,698/484,059 = 484,059/x
  3. Step 3: Cross multiply
    357,698x = 484,059 × 484,059
  4. Step 4: Simplify right side
    357,698x = 234,313,115,481
  5. Step 5: Solve for x
    x = 234,313,115,481/357,698
  6. Step 6: Final answer
    x = 655,058.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.