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Finding the Third Proportional to 285,972 and 609,924

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Solution

The third proportional to 285,972 and 609,924 is: 1,300,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,972 : 609,924 = 609,924 : x
  2. Step 2: Convert to fraction form
    285,972/609,924 = 609,924/x
  3. Step 3: Cross multiply
    285,972x = 609,924 × 609,924
  4. Step 4: Simplify right side
    285,972x = 372,007,285,776
  5. Step 5: Solve for x
    x = 372,007,285,776/285,972
  6. Step 6: Final answer
    x = 1,300,852.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.