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Finding the Third Proportional to 295,304 and 458,129

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Solution

The third proportional to 295,304 and 458,129 is: 710,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,304 : 458,129 = 458,129 : x
  2. Step 2: Convert to fraction form
    295,304/458,129 = 458,129/x
  3. Step 3: Cross multiply
    295,304x = 458,129 × 458,129
  4. Step 4: Simplify right side
    295,304x = 209,882,180,641
  5. Step 5: Solve for x
    x = 209,882,180,641/295,304
  6. Step 6: Final answer
    x = 710,732.60

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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.