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Finding the Third Proportional to 272,722 and 596,484

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Solution

The third proportional to 272,722 and 596,484 is: 1,304,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,722 : 596,484 = 596,484 : x
  2. Step 2: Convert to fraction form
    272,722/596,484 = 596,484/x
  3. Step 3: Cross multiply
    272,722x = 596,484 × 596,484
  4. Step 4: Simplify right side
    272,722x = 355,793,162,256
  5. Step 5: Solve for x
    x = 355,793,162,256/272,722
  6. Step 6: Final answer
    x = 1,304,600.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.