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Finding the Third Proportional to 288,247 and 458,032

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Solution

The third proportional to 288,247 and 458,032 is: 727,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,247 : 458,032 = 458,032 : x
  2. Step 2: Convert to fraction form
    288,247/458,032 = 458,032/x
  3. Step 3: Cross multiply
    288,247x = 458,032 × 458,032
  4. Step 4: Simplify right side
    288,247x = 209,793,313,024
  5. Step 5: Solve for x
    x = 209,793,313,024/288,247
  6. Step 6: Final answer
    x = 727,824.79

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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.