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Finding the Third Proportional to 657,429.75 and 1,414,732.50

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Solution

The third proportional to 657,429.75 and 1,414,732.50 is: 3,044,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,429.75 : 1,414,732.50 = 1,414,732.50 : x
  2. Step 2: Convert to fraction form
    657,429.75/1,414,732.50 = 1,414,732.50/x
  3. Step 3: Cross multiply
    657,429.75x = 1,414,732.50 × 1,414,732.50
  4. Step 4: Simplify right side
    657,429.75x = 2,001,468,046,556.25
  5. Step 5: Solve for x
    x = 2,001,468,046,556.25/657,429.75
  6. Step 6: Final answer
    x = 3,044,383.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.