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Finding the Third Proportional to 386,376.75 and 841,394.25

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Solution

The third proportional to 386,376.75 and 841,394.25 is: 1,832,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,376.75 : 841,394.25 = 841,394.25 : x
  2. Step 2: Convert to fraction form
    386,376.75/841,394.25 = 841,394.25/x
  3. Step 3: Cross multiply
    386,376.75x = 841,394.25 × 841,394.25
  4. Step 4: Simplify right side
    386,376.75x = 707,944,283,933.06
  5. Step 5: Solve for x
    x = 707,944,283,933.06/386,376.75
  6. Step 6: Final answer
    x = 1,832,264.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.