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Finding the Third Proportional to 386,251.50 and 590,866.50

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Solution

The third proportional to 386,251.50 and 590,866.50 is: 903,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,251.50 : 590,866.50 = 590,866.50 : x
  2. Step 2: Convert to fraction form
    386,251.50/590,866.50 = 590,866.50/x
  3. Step 3: Cross multiply
    386,251.50x = 590,866.50 × 590,866.50
  4. Step 4: Simplify right side
    386,251.50x = 349,123,220,822.25
  5. Step 5: Solve for x
    x = 349,123,220,822.25/386,251.50
  6. Step 6: Final answer
    x = 903,875.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.