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Finding the Third Proportional to 272,319 and 422,626.50

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Solution

The third proportional to 272,319 and 422,626.50 is: 655,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,319 : 422,626.50 = 422,626.50 : x
  2. Step 2: Convert to fraction form
    272,319/422,626.50 = 422,626.50/x
  3. Step 3: Cross multiply
    272,319x = 422,626.50 × 422,626.50
  4. Step 4: Simplify right side
    272,319x = 178,613,158,502.25
  5. Step 5: Solve for x
    x = 178,613,158,502.25/272,319
  6. Step 6: Final answer
    x = 655,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.