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Finding the Third Proportional to 268,446 and 578,924

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Solution

The third proportional to 268,446 and 578,924 is: 1,248,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,446 : 578,924 = 578,924 : x
  2. Step 2: Convert to fraction form
    268,446/578,924 = 578,924/x
  3. Step 3: Cross multiply
    268,446x = 578,924 × 578,924
  4. Step 4: Simplify right side
    268,446x = 335,152,997,776
  5. Step 5: Solve for x
    x = 335,152,997,776/268,446
  6. Step 6: Final answer
    x = 1,248,493.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.