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Finding the Third Proportional to 457,042 and 696,279

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Solution

The third proportional to 457,042 and 696,279 is: 1,060,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,042 : 696,279 = 696,279 : x
  2. Step 2: Convert to fraction form
    457,042/696,279 = 696,279/x
  3. Step 3: Cross multiply
    457,042x = 696,279 × 696,279
  4. Step 4: Simplify right side
    457,042x = 484,804,445,841
  5. Step 5: Solve for x
    x = 484,804,445,841/457,042
  6. Step 6: Final answer
    x = 1,060,743.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.