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Finding the Third Proportional to 401,846 and 607,948

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Solution

The third proportional to 401,846 and 607,948 is: 919,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,846 : 607,948 = 607,948 : x
  2. Step 2: Convert to fraction form
    401,846/607,948 = 607,948/x
  3. Step 3: Cross multiply
    401,846x = 607,948 × 607,948
  4. Step 4: Simplify right side
    401,846x = 369,600,770,704
  5. Step 5: Solve for x
    x = 369,600,770,704/401,846
  6. Step 6: Final answer
    x = 919,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.