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Finding the Third Proportional to 252,437 and 540,342

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Solution

The third proportional to 252,437 and 540,342 is: 1,156,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,437 : 540,342 = 540,342 : x
  2. Step 2: Convert to fraction form
    252,437/540,342 = 540,342/x
  3. Step 3: Cross multiply
    252,437x = 540,342 × 540,342
  4. Step 4: Simplify right side
    252,437x = 291,969,476,964
  5. Step 5: Solve for x
    x = 291,969,476,964/252,437
  6. Step 6: Final answer
    x = 1,156,603.34

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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.