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Finding the Third Proportional to 356,074 and 475,657

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Solution

The third proportional to 356,074 and 475,657 is: 635,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,074 : 475,657 = 475,657 : x
  2. Step 2: Convert to fraction form
    356,074/475,657 = 475,657/x
  3. Step 3: Cross multiply
    356,074x = 475,657 × 475,657
  4. Step 4: Simplify right side
    356,074x = 226,249,581,649
  5. Step 5: Solve for x
    x = 226,249,581,649/356,074
  6. Step 6: Final answer
    x = 635,400.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.