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Finding the Third Proportional to 288,331 and 619,283

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Solution

The third proportional to 288,331 and 619,283 is: 1,330,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,331 : 619,283 = 619,283 : x
  2. Step 2: Convert to fraction form
    288,331/619,283 = 619,283/x
  3. Step 3: Cross multiply
    288,331x = 619,283 × 619,283
  4. Step 4: Simplify right side
    288,331x = 383,511,434,089
  5. Step 5: Solve for x
    x = 383,511,434,089/288,331
  6. Step 6: Final answer
    x = 1,330,108.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.