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Finding the Third Proportional to 252,446 and 540,354

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Solution

The third proportional to 252,446 and 540,354 is: 1,156,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,446 : 540,354 = 540,354 : x
  2. Step 2: Convert to fraction form
    252,446/540,354 = 540,354/x
  3. Step 3: Cross multiply
    252,446x = 540,354 × 540,354
  4. Step 4: Simplify right side
    252,446x = 291,982,445,316
  5. Step 5: Solve for x
    x = 291,982,445,316/252,446
  6. Step 6: Final answer
    x = 1,156,613.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.