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Finding the Third Proportional to 366,202 and 566,727

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Solution

The third proportional to 366,202 and 566,727 is: 877,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,202 : 566,727 = 566,727 : x
  2. Step 2: Convert to fraction form
    366,202/566,727 = 566,727/x
  3. Step 3: Cross multiply
    366,202x = 566,727 × 566,727
  4. Step 4: Simplify right side
    366,202x = 321,179,492,529
  5. Step 5: Solve for x
    x = 321,179,492,529/366,202
  6. Step 6: Final answer
    x = 877,055.54

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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.