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Finding the Third Proportional to 288,665 and 415,808

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Solution

The third proportional to 288,665 and 415,808 is: 598,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,665 : 415,808 = 415,808 : x
  2. Step 2: Convert to fraction form
    288,665/415,808 = 415,808/x
  3. Step 3: Cross multiply
    288,665x = 415,808 × 415,808
  4. Step 4: Simplify right side
    288,665x = 172,896,292,864
  5. Step 5: Solve for x
    x = 172,896,292,864/288,665
  6. Step 6: Final answer
    x = 598,951.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.