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Finding the Third Proportional to 270,587 and 587,283

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Solution

The third proportional to 270,587 and 587,283 is: 1,274,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,587 : 587,283 = 587,283 : x
  2. Step 2: Convert to fraction form
    270,587/587,283 = 587,283/x
  3. Step 3: Cross multiply
    270,587x = 587,283 × 587,283
  4. Step 4: Simplify right side
    270,587x = 344,901,322,089
  5. Step 5: Solve for x
    x = 344,901,322,089/270,587
  6. Step 6: Final answer
    x = 1,274,641.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.