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Finding the Third Proportional to 295,564.13 and 458,593.88

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Solution

The third proportional to 295,564.13 and 458,593.88 is: 711,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,564.13 : 458,593.88 = 458,593.88 : x
  2. Step 2: Convert to fraction form
    295,564.13/458,593.88 = 458,593.88/x
  3. Step 3: Cross multiply
    295,564.13x = 458,593.88 × 458,593.88
  4. Step 4: Simplify right side
    295,564.13x = 210,308,342,187.52
  5. Step 5: Solve for x
    x = 210,308,342,187.52/295,564.13
  6. Step 6: Final answer
    x = 711,548.95

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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.