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Finding the Third Proportional to 370,127 and 803,675

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Solution

The third proportional to 370,127 and 803,675 is: 1,745,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,127 : 803,675 = 803,675 : x
  2. Step 2: Convert to fraction form
    370,127/803,675 = 803,675/x
  3. Step 3: Cross multiply
    370,127x = 803,675 × 803,675
  4. Step 4: Simplify right side
    370,127x = 645,893,505,625
  5. Step 5: Solve for x
    x = 645,893,505,625/370,127
  6. Step 6: Final answer
    x = 1,745,059.14

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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.