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Finding the Third Proportional to 260,599.50 and 571,023

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Solution

The third proportional to 260,599.50 and 571,023 is: 1,251,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,599.50 : 571,023 = 571,023 : x
  2. Step 2: Convert to fraction form
    260,599.50/571,023 = 571,023/x
  3. Step 3: Cross multiply
    260,599.50x = 571,023 × 571,023
  4. Step 4: Simplify right side
    260,599.50x = 326,067,266,529
  5. Step 5: Solve for x
    x = 326,067,266,529/260,599.50
  6. Step 6: Final answer
    x = 1,251,219.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.