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Finding the Third Proportional to 252,585 and 540,195

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Solution

The third proportional to 252,585 and 540,195 is: 1,155,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,585 : 540,195 = 540,195 : x
  2. Step 2: Convert to fraction form
    252,585/540,195 = 540,195/x
  3. Step 3: Cross multiply
    252,585x = 540,195 × 540,195
  4. Step 4: Simplify right side
    252,585x = 291,810,638,025
  5. Step 5: Solve for x
    x = 291,810,638,025/252,585
  6. Step 6: Final answer
    x = 1,155,296.78

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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.