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Finding the Third Proportional to 366,206 and 566,733

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Solution

The third proportional to 366,206 and 566,733 is: 877,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,206 : 566,733 = 566,733 : x
  2. Step 2: Convert to fraction form
    366,206/566,733 = 566,733/x
  3. Step 3: Cross multiply
    366,206x = 566,733 × 566,733
  4. Step 4: Simplify right side
    366,206x = 321,186,293,289
  5. Step 5: Solve for x
    x = 321,186,293,289/366,206
  6. Step 6: Final answer
    x = 877,064.53

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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.