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Finding the Third Proportional to 297,027 and 650,196

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Solution

The third proportional to 297,027 and 650,196 is: 1,423,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,027 : 650,196 = 650,196 : x
  2. Step 2: Convert to fraction form
    297,027/650,196 = 650,196/x
  3. Step 3: Cross multiply
    297,027x = 650,196 × 650,196
  4. Step 4: Simplify right side
    297,027x = 422,754,838,416
  5. Step 5: Solve for x
    x = 422,754,838,416/297,027
  6. Step 6: Final answer
    x = 1,423,287.57

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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.