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Finding the Third Proportional to 581,652 and 853,302

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Solution

The third proportional to 581,652 and 853,302 is: 1,251,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,652 : 853,302 = 853,302 : x
  2. Step 2: Convert to fraction form
    581,652/853,302 = 853,302/x
  3. Step 3: Cross multiply
    581,652x = 853,302 × 853,302
  4. Step 4: Simplify right side
    581,652x = 728,124,303,204
  5. Step 5: Solve for x
    x = 728,124,303,204/581,652
  6. Step 6: Final answer
    x = 1,251,821.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.