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Finding the Third Proportional to 357,704 and 484,065

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Solution

The third proportional to 357,704 and 484,065 is: 655,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,704 : 484,065 = 484,065 : x
  2. Step 2: Convert to fraction form
    357,704/484,065 = 484,065/x
  3. Step 3: Cross multiply
    357,704x = 484,065 × 484,065
  4. Step 4: Simplify right side
    357,704x = 234,318,924,225
  5. Step 5: Solve for x
    x = 234,318,924,225/357,704
  6. Step 6: Final answer
    x = 655,063.75

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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.