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Finding the Third Proportional to 384,363.38 and 841,128.38

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Solution

The third proportional to 384,363.38 and 841,128.38 is: 1,840,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,363.38 : 841,128.38 = 841,128.38 : x
  2. Step 2: Convert to fraction form
    384,363.38/841,128.38 = 841,128.38/x
  3. Step 3: Cross multiply
    384,363.38x = 841,128.38 × 841,128.38
  4. Step 4: Simplify right side
    384,363.38x = 707,496,943,230.14
  5. Step 5: Solve for x
    x = 707,496,943,230.14/384,363.38
  6. Step 6: Final answer
    x = 1,840,698.12

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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.