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Finding the Third Proportional to 370,098 and 806,778

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Solution

The third proportional to 370,098 and 806,778 is: 1,758,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,098 : 806,778 = 806,778 : x
  2. Step 2: Convert to fraction form
    370,098/806,778 = 806,778/x
  3. Step 3: Cross multiply
    370,098x = 806,778 × 806,778
  4. Step 4: Simplify right side
    370,098x = 650,890,741,284
  5. Step 5: Solve for x
    x = 650,890,741,284/370,098
  6. Step 6: Final answer
    x = 1,758,698.35

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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.