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Finding the Third Proportional to 247,929 and 508,926

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Solution

The third proportional to 247,929 and 508,926 is: 1,044,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,929 : 508,926 = 508,926 : x
  2. Step 2: Convert to fraction form
    247,929/508,926 = 508,926/x
  3. Step 3: Cross multiply
    247,929x = 508,926 × 508,926
  4. Step 4: Simplify right side
    247,929x = 259,005,673,476
  5. Step 5: Solve for x
    x = 259,005,673,476/247,929
  6. Step 6: Final answer
    x = 1,044,676.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.