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Finding the Third Proportional to 370,151 and 803,725

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Solution

The third proportional to 370,151 and 803,725 is: 1,745,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,151 : 803,725 = 803,725 : x
  2. Step 2: Convert to fraction form
    370,151/803,725 = 803,725/x
  3. Step 3: Cross multiply
    370,151x = 803,725 × 803,725
  4. Step 4: Simplify right side
    370,151x = 645,973,875,625
  5. Step 5: Solve for x
    x = 645,973,875,625/370,151
  6. Step 6: Final answer
    x = 1,745,163.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.