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Finding the Third Proportional to 284,091 and 613,248.75

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Solution

The third proportional to 284,091 and 613,248.75 is: 1,323,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,091 : 613,248.75 = 613,248.75 : x
  2. Step 2: Convert to fraction form
    284,091/613,248.75 = 613,248.75/x
  3. Step 3: Cross multiply
    284,091x = 613,248.75 × 613,248.75
  4. Step 4: Simplify right side
    284,091x = 376,074,029,376.56
  5. Step 5: Solve for x
    x = 376,074,029,376.56/284,091
  6. Step 6: Final answer
    x = 1,323,780.16

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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.