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Finding the Third Proportional to 386,179.52 and 841,012.88

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Solution

The third proportional to 386,179.52 and 841,012.88 is: 1,831,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,179.52 : 841,012.88 = 841,012.88 : x
  2. Step 2: Convert to fraction form
    386,179.52/841,012.88 = 841,012.88/x
  3. Step 3: Cross multiply
    386,179.52x = 841,012.88 × 841,012.88
  4. Step 4: Simplify right side
    386,179.52x = 707,302,655,915.77
  5. Step 5: Solve for x
    x = 707,302,655,915.77/386,179.52
  6. Step 6: Final answer
    x = 1,831,538.48

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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.