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Finding the Third Proportional to 375,637.50 and 835,249.50

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Solution

The third proportional to 375,637.50 and 835,249.50 is: 1,857,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,637.50 : 835,249.50 = 835,249.50 : x
  2. Step 2: Convert to fraction form
    375,637.50/835,249.50 = 835,249.50/x
  3. Step 3: Cross multiply
    375,637.50x = 835,249.50 × 835,249.50
  4. Step 4: Simplify right side
    375,637.50x = 697,641,727,250.25
  5. Step 5: Solve for x
    x = 697,641,727,250.25/375,637.50
  6. Step 6: Final answer
    x = 1,857,220.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.