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Finding the Third Proportional to 344,345 and 730,374

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Solution

The third proportional to 344,345 and 730,374 is: 1,549,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,345 : 730,374 = 730,374 : x
  2. Step 2: Convert to fraction form
    344,345/730,374 = 730,374/x
  3. Step 3: Cross multiply
    344,345x = 730,374 × 730,374
  4. Step 4: Simplify right side
    344,345x = 533,446,179,876
  5. Step 5: Solve for x
    x = 533,446,179,876/344,345
  6. Step 6: Final answer
    x = 1,549,161.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.