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Finding the Third Proportional to 367,789 and 569,726

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Solution

The third proportional to 367,789 and 569,726 is: 882,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,789 : 569,726 = 569,726 : x
  2. Step 2: Convert to fraction form
    367,789/569,726 = 569,726/x
  3. Step 3: Cross multiply
    367,789x = 569,726 × 569,726
  4. Step 4: Simplify right side
    367,789x = 324,587,715,076
  5. Step 5: Solve for x
    x = 324,587,715,076/367,789
  6. Step 6: Final answer
    x = 882,537.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.