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Finding the Third Proportional to 372,998 and 798,349

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Solution

The third proportional to 372,998 and 798,349 is: 1,708,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,998 : 798,349 = 798,349 : x
  2. Step 2: Convert to fraction form
    372,998/798,349 = 798,349/x
  3. Step 3: Cross multiply
    372,998x = 798,349 × 798,349
  4. Step 4: Simplify right side
    372,998x = 637,361,125,801
  5. Step 5: Solve for x
    x = 637,361,125,801/372,998
  6. Step 6: Final answer
    x = 1,708,752.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.