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Finding the Third Proportional to 415,309.50 and 650,646

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Solution

The third proportional to 415,309.50 and 650,646 is: 1,019,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.50 : 650,646 = 650,646 : x
  2. Step 2: Convert to fraction form
    415,309.50/650,646 = 650,646/x
  3. Step 3: Cross multiply
    415,309.50x = 650,646 × 650,646
  4. Step 4: Simplify right side
    415,309.50x = 423,340,217,316
  5. Step 5: Solve for x
    x = 423,340,217,316/415,309.50
  6. Step 6: Final answer
    x = 1,019,336.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.