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Finding the Third Proportional to 372,566.25 and 590,199.75

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Solution

The third proportional to 372,566.25 and 590,199.75 is: 934,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,566.25 : 590,199.75 = 590,199.75 : x
  2. Step 2: Convert to fraction form
    372,566.25/590,199.75 = 590,199.75/x
  3. Step 3: Cross multiply
    372,566.25x = 590,199.75 × 590,199.75
  4. Step 4: Simplify right side
    372,566.25x = 348,335,744,900.06
  5. Step 5: Solve for x
    x = 348,335,744,900.06/372,566.25
  6. Step 6: Final answer
    x = 934,963.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.