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Finding the Third Proportional to 414,956 and 658,726

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Solution

The third proportional to 414,956 and 658,726 is: 1,045,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,956 : 658,726 = 658,726 : x
  2. Step 2: Convert to fraction form
    414,956/658,726 = 658,726/x
  3. Step 3: Cross multiply
    414,956x = 658,726 × 658,726
  4. Step 4: Simplify right side
    414,956x = 433,919,943,076
  5. Step 5: Solve for x
    x = 433,919,943,076/414,956
  6. Step 6: Final answer
    x = 1,045,701.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.