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Finding the Third Proportional to 398,055 and 841,038

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Solution

The third proportional to 398,055 and 841,038 is: 1,777,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,055 : 841,038 = 841,038 : x
  2. Step 2: Convert to fraction form
    398,055/841,038 = 841,038/x
  3. Step 3: Cross multiply
    398,055x = 841,038 × 841,038
  4. Step 4: Simplify right side
    398,055x = 707,344,917,444
  5. Step 5: Solve for x
    x = 707,344,917,444/398,055
  6. Step 6: Final answer
    x = 1,777,002.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.