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Finding the Third Proportional to 252,650 and 540,306

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Solution

The third proportional to 252,650 and 540,306 is: 1,155,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,650 : 540,306 = 540,306 : x
  2. Step 2: Convert to fraction form
    252,650/540,306 = 540,306/x
  3. Step 3: Cross multiply
    252,650x = 540,306 × 540,306
  4. Step 4: Simplify right side
    252,650x = 291,930,573,636
  5. Step 5: Solve for x
    x = 291,930,573,636/252,650
  6. Step 6: Final answer
    x = 1,155,474.27

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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.