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Finding the Third Proportional to 360,195 and 783,814

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Solution

The third proportional to 360,195 and 783,814 is: 1,705,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,195 : 783,814 = 783,814 : x
  2. Step 2: Convert to fraction form
    360,195/783,814 = 783,814/x
  3. Step 3: Cross multiply
    360,195x = 783,814 × 783,814
  4. Step 4: Simplify right side
    360,195x = 614,364,386,596
  5. Step 5: Solve for x
    x = 614,364,386,596/360,195
  6. Step 6: Final answer
    x = 1,705,643.85

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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.