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Finding the Third Proportional to 370,206 and 501,660

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Solution

The third proportional to 370,206 and 501,660 is: 679,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,206 : 501,660 = 501,660 : x
  2. Step 2: Convert to fraction form
    370,206/501,660 = 501,660/x
  3. Step 3: Cross multiply
    370,206x = 501,660 × 501,660
  4. Step 4: Simplify right side
    370,206x = 251,662,755,600
  5. Step 5: Solve for x
    x = 251,662,755,600/370,206
  6. Step 6: Final answer
    x = 679,791.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.