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Finding the Third Proportional to 252,642 and 540,294

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Solution

The third proportional to 252,642 and 540,294 is: 1,155,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,642 : 540,294 = 540,294 : x
  2. Step 2: Convert to fraction form
    252,642/540,294 = 540,294/x
  3. Step 3: Cross multiply
    252,642x = 540,294 × 540,294
  4. Step 4: Simplify right side
    252,642x = 291,917,606,436
  5. Step 5: Solve for x
    x = 291,917,606,436/252,642
  6. Step 6: Final answer
    x = 1,155,459.53

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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.