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Finding the Third Proportional to 260,685 and 571,195.13

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Solution

The third proportional to 260,685 and 571,195.13 is: 1,251,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,685 : 571,195.13 = 571,195.13 : x
  2. Step 2: Convert to fraction form
    260,685/571,195.13 = 571,195.13/x
  3. Step 3: Cross multiply
    260,685x = 571,195.13 × 571,195.13
  4. Step 4: Simplify right side
    260,685x = 326,263,870,823.77
  5. Step 5: Solve for x
    x = 326,263,870,823.77/260,685
  6. Step 6: Final answer
    x = 1,251,563.65

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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.