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Finding the Third Proportional to 252,168 and 537,712

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Solution

The third proportional to 252,168 and 537,712 is: 1,146,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,168 : 537,712 = 537,712 : x
  2. Step 2: Convert to fraction form
    252,168/537,712 = 537,712/x
  3. Step 3: Cross multiply
    252,168x = 537,712 × 537,712
  4. Step 4: Simplify right side
    252,168x = 289,134,194,944
  5. Step 5: Solve for x
    x = 289,134,194,944/252,168
  6. Step 6: Final answer
    x = 1,146,593.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.