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Finding the Third Proportional to 247,924 and 510,520

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Solution

The third proportional to 247,924 and 510,520 is: 1,051,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,924 : 510,520 = 510,520 : x
  2. Step 2: Convert to fraction form
    247,924/510,520 = 510,520/x
  3. Step 3: Cross multiply
    247,924x = 510,520 × 510,520
  4. Step 4: Simplify right side
    247,924x = 260,630,670,400
  5. Step 5: Solve for x
    x = 260,630,670,400/247,924
  6. Step 6: Final answer
    x = 1,051,252.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.