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Finding the Third Proportional to 581,605 and 853,237

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Solution

The third proportional to 581,605 and 853,237 is: 1,251,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,605 : 853,237 = 853,237 : x
  2. Step 2: Convert to fraction form
    581,605/853,237 = 853,237/x
  3. Step 3: Cross multiply
    581,605x = 853,237 × 853,237
  4. Step 4: Simplify right side
    581,605x = 728,013,378,169
  5. Step 5: Solve for x
    x = 728,013,378,169/581,605
  6. Step 6: Final answer
    x = 1,251,731.64

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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.