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Finding the Third Proportional to 264,100 and 560,924

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Solution

The third proportional to 264,100 and 560,924 is: 1,191,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,100 : 560,924 = 560,924 : x
  2. Step 2: Convert to fraction form
    264,100/560,924 = 560,924/x
  3. Step 3: Cross multiply
    264,100x = 560,924 × 560,924
  4. Step 4: Simplify right side
    264,100x = 314,635,733,776
  5. Step 5: Solve for x
    x = 314,635,733,776/264,100
  6. Step 6: Final answer
    x = 1,191,350.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.