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Finding the Third Proportional to 475,832 and 700,596

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Solution

The third proportional to 475,832 and 700,596 is: 1,031,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,832 : 700,596 = 700,596 : x
  2. Step 2: Convert to fraction form
    475,832/700,596 = 700,596/x
  3. Step 3: Cross multiply
    475,832x = 700,596 × 700,596
  4. Step 4: Simplify right side
    475,832x = 490,834,755,216
  5. Step 5: Solve for x
    x = 490,834,755,216/475,832
  6. Step 6: Final answer
    x = 1,031,529.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.