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Finding the Third Proportional to 372,596 and 590,960

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Solution

The third proportional to 372,596 and 590,960 is: 937,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,596 : 590,960 = 590,960 : x
  2. Step 2: Convert to fraction form
    372,596/590,960 = 590,960/x
  3. Step 3: Cross multiply
    372,596x = 590,960 × 590,960
  4. Step 4: Simplify right side
    372,596x = 349,233,721,600
  5. Step 5: Solve for x
    x = 349,233,721,600/372,596
  6. Step 6: Final answer
    x = 937,298.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.