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Finding the Third Proportional to 298,572 and 462,282

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Solution

The third proportional to 298,572 and 462,282 is: 715,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,572 : 462,282 = 462,282 : x
  2. Step 2: Convert to fraction form
    298,572/462,282 = 462,282/x
  3. Step 3: Cross multiply
    298,572x = 462,282 × 462,282
  4. Step 4: Simplify right side
    298,572x = 213,704,647,524
  5. Step 5: Solve for x
    x = 213,704,647,524/298,572
  6. Step 6: Final answer
    x = 715,755.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.