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Finding the Third Proportional to 259,088 and 566,200

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Solution

The third proportional to 259,088 and 566,200 is: 1,237,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,088 : 566,200 = 566,200 : x
  2. Step 2: Convert to fraction form
    259,088/566,200 = 566,200/x
  3. Step 3: Cross multiply
    259,088x = 566,200 × 566,200
  4. Step 4: Simplify right side
    259,088x = 320,582,440,000
  5. Step 5: Solve for x
    x = 320,582,440,000/259,088
  6. Step 6: Final answer
    x = 1,237,349.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.