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Finding the Third Proportional to 257,024 and 556,952

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Solution

The third proportional to 257,024 and 556,952 is: 1,206,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,024 : 556,952 = 556,952 : x
  2. Step 2: Convert to fraction form
    257,024/556,952 = 556,952/x
  3. Step 3: Cross multiply
    257,024x = 556,952 × 556,952
  4. Step 4: Simplify right side
    257,024x = 310,195,530,304
  5. Step 5: Solve for x
    x = 310,195,530,304/257,024
  6. Step 6: Final answer
    x = 1,206,873.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.