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Finding the Third Proportional to 360,199 and 783,822

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Solution

The third proportional to 360,199 and 783,822 is: 1,705,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,199 : 783,822 = 783,822 : x
  2. Step 2: Convert to fraction form
    360,199/783,822 = 783,822/x
  3. Step 3: Cross multiply
    360,199x = 783,822 × 783,822
  4. Step 4: Simplify right side
    360,199x = 614,376,927,684
  5. Step 5: Solve for x
    x = 614,376,927,684/360,199
  6. Step 6: Final answer
    x = 1,705,659.73

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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.