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Finding the Third Proportional to 352,648.38 and 832,332.38

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Solution

The third proportional to 352,648.38 and 832,332.38 is: 1,964,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,648.38 : 832,332.38 = 832,332.38 : x
  2. Step 2: Convert to fraction form
    352,648.38/832,332.38 = 832,332.38/x
  3. Step 3: Cross multiply
    352,648.38x = 832,332.38 × 832,332.38
  4. Step 4: Simplify right side
    352,648.38x = 692,777,182,473.14
  5. Step 5: Solve for x
    x = 692,777,182,473.14/352,648.38
  6. Step 6: Final answer
    x = 1,964,498.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.