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Finding the Third Proportional to 284,010 and 612,308

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Solution

The third proportional to 284,010 and 612,308 is: 1,320,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,010 : 612,308 = 612,308 : x
  2. Step 2: Convert to fraction form
    284,010/612,308 = 612,308/x
  3. Step 3: Cross multiply
    284,010x = 612,308 × 612,308
  4. Step 4: Simplify right side
    284,010x = 374,921,086,864
  5. Step 5: Solve for x
    x = 374,921,086,864/284,010
  6. Step 6: Final answer
    x = 1,320,098.19

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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.