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Finding the Third Proportional to 344,649 and 756,363

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Solution

The third proportional to 344,649 and 756,363 is: 1,659,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,649 : 756,363 = 756,363 : x
  2. Step 2: Convert to fraction form
    344,649/756,363 = 756,363/x
  3. Step 3: Cross multiply
    344,649x = 756,363 × 756,363
  4. Step 4: Simplify right side
    344,649x = 572,084,987,769
  5. Step 5: Solve for x
    x = 572,084,987,769/344,649
  6. Step 6: Final answer
    x = 1,659,906.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.