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Finding the Third Proportional to 231,026 and 501,580

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Solution

The third proportional to 231,026 and 501,580 is: 1,088,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,026 : 501,580 = 501,580 : x
  2. Step 2: Convert to fraction form
    231,026/501,580 = 501,580/x
  3. Step 3: Cross multiply
    231,026x = 501,580 × 501,580
  4. Step 4: Simplify right side
    231,026x = 251,582,496,400
  5. Step 5: Solve for x
    x = 251,582,496,400/231,026
  6. Step 6: Final answer
    x = 1,088,979.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.