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Finding the Third Proportional to 252,528 and 540,078

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Solution

The third proportional to 252,528 and 540,078 is: 1,155,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,528 : 540,078 = 540,078 : x
  2. Step 2: Convert to fraction form
    252,528/540,078 = 540,078/x
  3. Step 3: Cross multiply
    252,528x = 540,078 × 540,078
  4. Step 4: Simplify right side
    252,528x = 291,684,246,084
  5. Step 5: Solve for x
    x = 291,684,246,084/252,528
  6. Step 6: Final answer
    x = 1,155,057.05

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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.