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Finding the Third Proportional to 343,566 and 748,126

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Solution

The third proportional to 343,566 and 748,126 is: 1,629,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,566 : 748,126 = 748,126 : x
  2. Step 2: Convert to fraction form
    343,566/748,126 = 748,126/x
  3. Step 3: Cross multiply
    343,566x = 748,126 × 748,126
  4. Step 4: Simplify right side
    343,566x = 559,692,511,876
  5. Step 5: Solve for x
    x = 559,692,511,876/343,566
  6. Step 6: Final answer
    x = 1,629,068.39

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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.