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Finding the Third Proportional to 288,239 and 458,019.50

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Solution

The third proportional to 288,239 and 458,019.50 is: 727,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,239 : 458,019.50 = 458,019.50 : x
  2. Step 2: Convert to fraction form
    288,239/458,019.50 = 458,019.50/x
  3. Step 3: Cross multiply
    288,239x = 458,019.50 × 458,019.50
  4. Step 4: Simplify right side
    288,239x = 209,781,862,380.25
  5. Step 5: Solve for x
    x = 209,781,862,380.25/288,239
  6. Step 6: Final answer
    x = 727,805.27

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