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Finding the Third Proportional to 261,874 and 562,502

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Solution

The third proportional to 261,874 and 562,502 is: 1,208,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,874 : 562,502 = 562,502 : x
  2. Step 2: Convert to fraction form
    261,874/562,502 = 562,502/x
  3. Step 3: Cross multiply
    261,874x = 562,502 × 562,502
  4. Step 4: Simplify right side
    261,874x = 316,408,500,004
  5. Step 5: Solve for x
    x = 316,408,500,004/261,874
  6. Step 6: Final answer
    x = 1,208,247.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.