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Finding the Third Proportional to 316,552 and 489,494

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Solution

The third proportional to 316,552 and 489,494 is: 756,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,552 : 489,494 = 489,494 : x
  2. Step 2: Convert to fraction form
    316,552/489,494 = 489,494/x
  3. Step 3: Cross multiply
    316,552x = 489,494 × 489,494
  4. Step 4: Simplify right side
    316,552x = 239,604,376,036
  5. Step 5: Solve for x
    x = 239,604,376,036/316,552
  6. Step 6: Final answer
    x = 756,919.48

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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.