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Finding the Third Proportional to 453,348 and 613,500.75

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Solution

The third proportional to 453,348 and 613,500.75 is: 830,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,348 : 613,500.75 = 613,500.75 : x
  2. Step 2: Convert to fraction form
    453,348/613,500.75 = 613,500.75/x
  3. Step 3: Cross multiply
    453,348x = 613,500.75 × 613,500.75
  4. Step 4: Simplify right side
    453,348x = 376,383,170,250.56
  5. Step 5: Solve for x
    x = 376,383,170,250.56/453,348
  6. Step 6: Final answer
    x = 830,230.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.