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Finding the Third Proportional to 353,052 and 777,366

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Solution

The third proportional to 353,052 and 777,366 is: 1,711,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,052 : 777,366 = 777,366 : x
  2. Step 2: Convert to fraction form
    353,052/777,366 = 777,366/x
  3. Step 3: Cross multiply
    353,052x = 777,366 × 777,366
  4. Step 4: Simplify right side
    353,052x = 604,297,897,956
  5. Step 5: Solve for x
    x = 604,297,897,956/353,052
  6. Step 6: Final answer
    x = 1,711,639.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.