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Finding the Third Proportional to 341,252 and 797,486

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Solution

The third proportional to 341,252 and 797,486 is: 1,863,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,252 : 797,486 = 797,486 : x
  2. Step 2: Convert to fraction form
    341,252/797,486 = 797,486/x
  3. Step 3: Cross multiply
    341,252x = 797,486 × 797,486
  4. Step 4: Simplify right side
    341,252x = 635,983,920,196
  5. Step 5: Solve for x
    x = 635,983,920,196/341,252
  6. Step 6: Final answer
    x = 1,863,678.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.