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Finding the Third Proportional to 370,104.19 and 807,139.69

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Solution

The third proportional to 370,104.19 and 807,139.69 is: 1,760,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,104.19 : 807,139.69 = 807,139.69 : x
  2. Step 2: Convert to fraction form
    370,104.19/807,139.69 = 807,139.69/x
  3. Step 3: Cross multiply
    370,104.19x = 807,139.69 × 807,139.69
  4. Step 4: Simplify right side
    370,104.19x = 651,474,475,137.60
  5. Step 5: Solve for x
    x = 651,474,475,137.60/370,104.19
  6. Step 6: Final answer
    x = 1,760,246.16

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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.