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Finding the Third Proportional to 372,566 and 590,201

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Solution

The third proportional to 372,566 and 590,201 is: 934,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,566 : 590,201 = 590,201 : x
  2. Step 2: Convert to fraction form
    372,566/590,201 = 590,201/x
  3. Step 3: Cross multiply
    372,566x = 590,201 × 590,201
  4. Step 4: Simplify right side
    372,566x = 348,337,220,401
  5. Step 5: Solve for x
    x = 348,337,220,401/372,566
  6. Step 6: Final answer
    x = 934,967.82

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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.