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Finding the Third Proportional to 260,821.50 and 571,458

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Solution

The third proportional to 260,821.50 and 571,458 is: 1,252,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,821.50 : 571,458 = 571,458 : x
  2. Step 2: Convert to fraction form
    260,821.50/571,458 = 571,458/x
  3. Step 3: Cross multiply
    260,821.50x = 571,458 × 571,458
  4. Step 4: Simplify right side
    260,821.50x = 326,564,245,764
  5. Step 5: Solve for x
    x = 326,564,245,764/260,821.50
  6. Step 6: Final answer
    x = 1,252,060.30

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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.