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Finding the Third Proportional to 412,732.13 and 903,628.13

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Solution

The third proportional to 412,732.13 and 903,628.13 is: 1,978,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,732.13 : 903,628.13 = 903,628.13 : x
  2. Step 2: Convert to fraction form
    412,732.13/903,628.13 = 903,628.13/x
  3. Step 3: Cross multiply
    412,732.13x = 903,628.13 × 903,628.13
  4. Step 4: Simplify right side
    412,732.13x = 816,543,788,291.02
  5. Step 5: Solve for x
    x = 816,543,788,291.02/412,732.13
  6. Step 6: Final answer
    x = 1,978,386.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.