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Finding the Third Proportional to 316,251 and 489,155

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Solution

The third proportional to 316,251 and 489,155 is: 756,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,251 : 489,155 = 489,155 : x
  2. Step 2: Convert to fraction form
    316,251/489,155 = 489,155/x
  3. Step 3: Cross multiply
    316,251x = 489,155 × 489,155
  4. Step 4: Simplify right side
    316,251x = 239,272,614,025
  5. Step 5: Solve for x
    x = 239,272,614,025/316,251
  6. Step 6: Final answer
    x = 756,590.85

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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.