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Finding the Third Proportional to 260,588 and 571,052

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Solution

The third proportional to 260,588 and 571,052 is: 1,251,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,588 : 571,052 = 571,052 : x
  2. Step 2: Convert to fraction form
    260,588/571,052 = 571,052/x
  3. Step 3: Cross multiply
    260,588x = 571,052 × 571,052
  4. Step 4: Simplify right side
    260,588x = 326,100,386,704
  5. Step 5: Solve for x
    x = 326,100,386,704/260,588
  6. Step 6: Final answer
    x = 1,251,402.16

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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.