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Finding the Third Proportional to 296,220 and 458,802

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Solution

The third proportional to 296,220 and 458,802 is: 710,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220 : 458,802 = 458,802 : x
  2. Step 2: Convert to fraction form
    296,220/458,802 = 458,802/x
  3. Step 3: Cross multiply
    296,220x = 458,802 × 458,802
  4. Step 4: Simplify right side
    296,220x = 210,499,275,204
  5. Step 5: Solve for x
    x = 210,499,275,204/296,220
  6. Step 6: Final answer
    x = 710,618.04

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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.