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Finding the Third Proportional to 357,315 and 766,452

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Solution

The third proportional to 357,315 and 766,452 is: 1,644,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,315 : 766,452 = 766,452 : x
  2. Step 2: Convert to fraction form
    357,315/766,452 = 766,452/x
  3. Step 3: Cross multiply
    357,315x = 766,452 × 766,452
  4. Step 4: Simplify right side
    357,315x = 587,448,668,304
  5. Step 5: Solve for x
    x = 587,448,668,304/357,315
  6. Step 6: Final answer
    x = 1,644,063.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.