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Finding the Third Proportional to 360,196 and 783,816

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Solution

The third proportional to 360,196 and 783,816 is: 1,705,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,196 : 783,816 = 783,816 : x
  2. Step 2: Convert to fraction form
    360,196/783,816 = 783,816/x
  3. Step 3: Cross multiply
    360,196x = 783,816 × 783,816
  4. Step 4: Simplify right side
    360,196x = 614,367,521,856
  5. Step 5: Solve for x
    x = 614,367,521,856/360,196
  6. Step 6: Final answer
    x = 1,705,647.82

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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.