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Finding the Third Proportional to 272,949 and 592,518

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Solution

The third proportional to 272,949 and 592,518 is: 1,286,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,949 : 592,518 = 592,518 : x
  2. Step 2: Convert to fraction form
    272,949/592,518 = 592,518/x
  3. Step 3: Cross multiply
    272,949x = 592,518 × 592,518
  4. Step 4: Simplify right side
    272,949x = 351,077,580,324
  5. Step 5: Solve for x
    x = 351,077,580,324/272,949
  6. Step 6: Final answer
    x = 1,286,238.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.