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Finding the Third Proportional to 295,587 and 635,524

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Solution

The third proportional to 295,587 and 635,524 is: 1,366,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,587 : 635,524 = 635,524 : x
  2. Step 2: Convert to fraction form
    295,587/635,524 = 635,524/x
  3. Step 3: Cross multiply
    295,587x = 635,524 × 635,524
  4. Step 4: Simplify right side
    295,587x = 403,890,754,576
  5. Step 5: Solve for x
    x = 403,890,754,576/295,587
  6. Step 6: Final answer
    x = 1,366,402.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.