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Finding the Third Proportional to 372,357 and 795,546

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Solution

The third proportional to 372,357 and 795,546 is: 1,699,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,357 : 795,546 = 795,546 : x
  2. Step 2: Convert to fraction form
    372,357/795,546 = 795,546/x
  3. Step 3: Cross multiply
    372,357x = 795,546 × 795,546
  4. Step 4: Simplify right side
    372,357x = 632,893,438,116
  5. Step 5: Solve for x
    x = 632,893,438,116/372,357
  6. Step 6: Final answer
    x = 1,699,695.29

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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.