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Finding the Third Proportional to 425,196 and 667,062

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Solution

The third proportional to 425,196 and 667,062 is: 1,046,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,196 : 667,062 = 667,062 : x
  2. Step 2: Convert to fraction form
    425,196/667,062 = 667,062/x
  3. Step 3: Cross multiply
    425,196x = 667,062 × 667,062
  4. Step 4: Simplify right side
    425,196x = 444,971,711,844
  5. Step 5: Solve for x
    x = 444,971,711,844/425,196
  6. Step 6: Final answer
    x = 1,046,509.64

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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.