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Finding the Third Proportional to 296,642.25 and 471,639.38

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Solution

The third proportional to 296,642.25 and 471,639.38 is: 749,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.25 : 471,639.38 = 471,639.38 : x
  2. Step 2: Convert to fraction form
    296,642.25/471,639.38 = 471,639.38/x
  3. Step 3: Cross multiply
    296,642.25x = 471,639.38 × 471,639.38
  4. Step 4: Simplify right side
    296,642.25x = 222,443,700,050.39
  5. Step 5: Solve for x
    x = 222,443,700,050.39/296,642.25
  6. Step 6: Final answer
    x = 749,871.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.