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Finding the Third Proportional to 372,565 and 590,199

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Solution

The third proportional to 372,565 and 590,199 is: 934,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,565 : 590,199 = 590,199 : x
  2. Step 2: Convert to fraction form
    372,565/590,199 = 590,199/x
  3. Step 3: Cross multiply
    372,565x = 590,199 × 590,199
  4. Step 4: Simplify right side
    372,565x = 348,334,859,601
  5. Step 5: Solve for x
    x = 348,334,859,601/372,565
  6. Step 6: Final answer
    x = 934,963.99

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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.