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Finding the Third Proportional to 252,666 and 540,330.75

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Solution

The third proportional to 252,666 and 540,330.75 is: 1,155,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,666 : 540,330.75 = 540,330.75 : x
  2. Step 2: Convert to fraction form
    252,666/540,330.75 = 540,330.75/x
  3. Step 3: Cross multiply
    252,666x = 540,330.75 × 540,330.75
  4. Step 4: Simplify right side
    252,666x = 291,957,319,395.56
  5. Step 5: Solve for x
    x = 291,957,319,395.56/252,666
  6. Step 6: Final answer
    x = 1,155,506.95

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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.