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Finding the Third Proportional to 288,241 and 458,023

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Solution

The third proportional to 288,241 and 458,023 is: 727,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,241 : 458,023 = 458,023 : x
  2. Step 2: Convert to fraction form
    288,241/458,023 = 458,023/x
  3. Step 3: Cross multiply
    288,241x = 458,023 × 458,023
  4. Step 4: Simplify right side
    288,241x = 209,785,068,529
  5. Step 5: Solve for x
    x = 209,785,068,529/288,241
  6. Step 6: Final answer
    x = 727,811.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.