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Finding the Third Proportional to 343,456 and 744,114

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Solution

The third proportional to 343,456 and 744,114 is: 1,612,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456 : 744,114 = 744,114 : x
  2. Step 2: Convert to fraction form
    343,456/744,114 = 744,114/x
  3. Step 3: Cross multiply
    343,456x = 744,114 × 744,114
  4. Step 4: Simplify right side
    343,456x = 553,705,644,996
  5. Step 5: Solve for x
    x = 553,705,644,996/343,456
  6. Step 6: Final answer
    x = 1,612,158.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.