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Finding the Third Proportional to 272,764 and 592,742

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Solution

The third proportional to 272,764 and 592,742 is: 1,288,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,764 : 592,742 = 592,742 : x
  2. Step 2: Convert to fraction form
    272,764/592,742 = 592,742/x
  3. Step 3: Cross multiply
    272,764x = 592,742 × 592,742
  4. Step 4: Simplify right side
    272,764x = 351,343,078,564
  5. Step 5: Solve for x
    x = 351,343,078,564/272,764
  6. Step 6: Final answer
    x = 1,288,084.49

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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.