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Finding the Third Proportional to 370,109 and 795,280

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Solution

The third proportional to 370,109 and 795,280 is: 1,708,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,109 : 795,280 = 795,280 : x
  2. Step 2: Convert to fraction form
    370,109/795,280 = 795,280/x
  3. Step 3: Cross multiply
    370,109x = 795,280 × 795,280
  4. Step 4: Simplify right side
    370,109x = 632,470,278,400
  5. Step 5: Solve for x
    x = 632,470,278,400/370,109
  6. Step 6: Final answer
    x = 1,708,875.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.