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Finding the Third Proportional to 353,056 and 777,374

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Solution

The third proportional to 353,056 and 777,374 is: 1,711,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,056 : 777,374 = 777,374 : x
  2. Step 2: Convert to fraction form
    353,056/777,374 = 777,374/x
  3. Step 3: Cross multiply
    353,056x = 777,374 × 777,374
  4. Step 4: Simplify right side
    353,056x = 604,310,335,876
  5. Step 5: Solve for x
    x = 604,310,335,876/353,056
  6. Step 6: Final answer
    x = 1,711,655.76

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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.