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Finding the Third Proportional to 257,052 and 401,988

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Solution

The third proportional to 257,052 and 401,988 is: 628,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,052 : 401,988 = 401,988 : x
  2. Step 2: Convert to fraction form
    257,052/401,988 = 401,988/x
  3. Step 3: Cross multiply
    257,052x = 401,988 × 401,988
  4. Step 4: Simplify right side
    257,052x = 161,594,352,144
  5. Step 5: Solve for x
    x = 161,594,352,144/257,052
  6. Step 6: Final answer
    x = 628,644.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.