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Finding the Third Proportional to 370,667 and 807,862

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Solution

The third proportional to 370,667 and 807,862 is: 1,760,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,667 : 807,862 = 807,862 : x
  2. Step 2: Convert to fraction form
    370,667/807,862 = 807,862/x
  3. Step 3: Cross multiply
    370,667x = 807,862 × 807,862
  4. Step 4: Simplify right side
    370,667x = 652,641,011,044
  5. Step 5: Solve for x
    x = 652,641,011,044/370,667
  6. Step 6: Final answer
    x = 1,760,720.57

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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.