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Finding the Third Proportional to 372,592 and 590,396

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Solution

The third proportional to 372,592 and 590,396 is: 935,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,592 : 590,396 = 590,396 : x
  2. Step 2: Convert to fraction form
    372,592/590,396 = 590,396/x
  3. Step 3: Cross multiply
    372,592x = 590,396 × 590,396
  4. Step 4: Simplify right side
    372,592x = 348,567,436,816
  5. Step 5: Solve for x
    x = 348,567,436,816/372,592
  6. Step 6: Final answer
    x = 935,520.45

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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.