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Finding the Third Proportional to 356,197.50 and 501,616.13

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Solution

The third proportional to 356,197.50 and 501,616.13 is: 706,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,197.50 : 501,616.13 = 501,616.13 : x
  2. Step 2: Convert to fraction form
    356,197.50/501,616.13 = 501,616.13/x
  3. Step 3: Cross multiply
    356,197.50x = 501,616.13 × 501,616.13
  4. Step 4: Simplify right side
    356,197.50x = 251,618,736,860.02
  5. Step 5: Solve for x
    x = 251,618,736,860.02/356,197.50
  6. Step 6: Final answer
    x = 706,402.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.