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Finding the Third Proportional to 386,512.88 and 841,642.88

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Solution

The third proportional to 386,512.88 and 841,642.88 is: 1,832,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,512.88 : 841,642.88 = 841,642.88 : x
  2. Step 2: Convert to fraction form
    386,512.88/841,642.88 = 841,642.88/x
  3. Step 3: Cross multiply
    386,512.88x = 841,642.88 × 841,642.88
  4. Step 4: Simplify right side
    386,512.88x = 708,362,729,038.27
  5. Step 5: Solve for x
    x = 708,362,729,038.27/386,512.88
  6. Step 6: Final answer
    x = 1,832,701.51

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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.