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Finding the Third Proportional to 387,679.50 and 566,482.50

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Solution

The third proportional to 387,679.50 and 566,482.50 is: 827,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,679.50 : 566,482.50 = 566,482.50 : x
  2. Step 2: Convert to fraction form
    387,679.50/566,482.50 = 566,482.50/x
  3. Step 3: Cross multiply
    387,679.50x = 566,482.50 × 566,482.50
  4. Step 4: Simplify right side
    387,679.50x = 320,902,422,806.25
  5. Step 5: Solve for x
    x = 320,902,422,806.25/387,679.50
  6. Step 6: Final answer
    x = 827,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.