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Finding the Third Proportional to 284,010.75 and 612,308.25

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Solution

The third proportional to 284,010.75 and 612,308.25 is: 1,320,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,010.75 : 612,308.25 = 612,308.25 : x
  2. Step 2: Convert to fraction form
    284,010.75/612,308.25 = 612,308.25/x
  3. Step 3: Cross multiply
    284,010.75x = 612,308.25 × 612,308.25
  4. Step 4: Simplify right side
    284,010.75x = 374,921,393,018.06
  5. Step 5: Solve for x
    x = 374,921,393,018.06/284,010.75
  6. Step 6: Final answer
    x = 1,320,095.78

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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.