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Finding the Third Proportional to 252,466 and 540,392

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Solution

The third proportional to 252,466 and 540,392 is: 1,156,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,466 : 540,392 = 540,392 : x
  2. Step 2: Convert to fraction form
    252,466/540,392 = 540,392/x
  3. Step 3: Cross multiply
    252,466x = 540,392 × 540,392
  4. Step 4: Simplify right side
    252,466x = 292,023,513,664
  5. Step 5: Solve for x
    x = 292,023,513,664/252,466
  6. Step 6: Final answer
    x = 1,156,684.52

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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.