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Finding the Third Proportional to 352,176.75 and 471,801.38

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Solution

The third proportional to 352,176.75 and 471,801.38 is: 632,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,176.75 : 471,801.38 = 471,801.38 : x
  2. Step 2: Convert to fraction form
    352,176.75/471,801.38 = 471,801.38/x
  3. Step 3: Cross multiply
    352,176.75x = 471,801.38 × 471,801.38
  4. Step 4: Simplify right side
    352,176.75x = 222,596,537,451.89
  5. Step 5: Solve for x
    x = 222,596,537,451.89/352,176.75
  6. Step 6: Final answer
    x = 632,059.15

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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.