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Finding the Third Proportional to 257,333.50 and 567,020

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Solution

The third proportional to 257,333.50 and 567,020 is: 1,249,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.50 : 567,020 = 567,020 : x
  2. Step 2: Convert to fraction form
    257,333.50/567,020 = 567,020/x
  3. Step 3: Cross multiply
    257,333.50x = 567,020 × 567,020
  4. Step 4: Simplify right side
    257,333.50x = 321,511,680,400
  5. Step 5: Solve for x
    x = 321,511,680,400/257,333.50
  6. Step 6: Final answer
    x = 1,249,396.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.