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Finding the Third Proportional to 272,916 and 587,304

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Solution

The third proportional to 272,916 and 587,304 is: 1,263,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,916 : 587,304 = 587,304 : x
  2. Step 2: Convert to fraction form
    272,916/587,304 = 587,304/x
  3. Step 3: Cross multiply
    272,916x = 587,304 × 587,304
  4. Step 4: Simplify right side
    272,916x = 344,925,988,416
  5. Step 5: Solve for x
    x = 344,925,988,416/272,916
  6. Step 6: Final answer
    x = 1,263,854.04

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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.