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Finding the Third Proportional to 295,418 and 458,301

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Solution

The third proportional to 295,418 and 458,301 is: 710,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,418 : 458,301 = 458,301 : x
  2. Step 2: Convert to fraction form
    295,418/458,301 = 458,301/x
  3. Step 3: Cross multiply
    295,418x = 458,301 × 458,301
  4. Step 4: Simplify right side
    295,418x = 210,039,806,601
  5. Step 5: Solve for x
    x = 210,039,806,601/295,418
  6. Step 6: Final answer
    x = 710,991.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.