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Finding the Third Proportional to 291,246 and 635,196

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Solution

The third proportional to 291,246 and 635,196 is: 1,385,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,246 : 635,196 = 635,196 : x
  2. Step 2: Convert to fraction form
    291,246/635,196 = 635,196/x
  3. Step 3: Cross multiply
    291,246x = 635,196 × 635,196
  4. Step 4: Simplify right side
    291,246x = 403,473,958,416
  5. Step 5: Solve for x
    x = 403,473,958,416/291,246
  6. Step 6: Final answer
    x = 1,385,337.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.