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Finding the Third Proportional to 356,040 and 475,596

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Solution

The third proportional to 356,040 and 475,596 is: 635,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,040 : 475,596 = 475,596 : x
  2. Step 2: Convert to fraction form
    356,040/475,596 = 475,596/x
  3. Step 3: Cross multiply
    356,040x = 475,596 × 475,596
  4. Step 4: Simplify right side
    356,040x = 226,191,555,216
  5. Step 5: Solve for x
    x = 226,191,555,216/356,040
  6. Step 6: Final answer
    x = 635,298.16

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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.