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Finding the Third Proportional to 298,560 and 462,264

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Solution

The third proportional to 298,560 and 462,264 is: 715,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,560 : 462,264 = 462,264 : x
  2. Step 2: Convert to fraction form
    298,560/462,264 = 462,264/x
  3. Step 3: Cross multiply
    298,560x = 462,264 × 462,264
  4. Step 4: Simplify right side
    298,560x = 213,688,005,696
  5. Step 5: Solve for x
    x = 213,688,005,696/298,560
  6. Step 6: Final answer
    x = 715,728.85

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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.