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Finding the Third Proportional to 372,576 and 590,216

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Solution

The third proportional to 372,576 and 590,216 is: 934,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,576 : 590,216 = 590,216 : x
  2. Step 2: Convert to fraction form
    372,576/590,216 = 590,216/x
  3. Step 3: Cross multiply
    372,576x = 590,216 × 590,216
  4. Step 4: Simplify right side
    372,576x = 348,354,926,656
  5. Step 5: Solve for x
    x = 348,354,926,656/372,576
  6. Step 6: Final answer
    x = 934,990.25

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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.