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Finding the Third Proportional to 452,180.25 and 614,076.75

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Solution

The third proportional to 452,180.25 and 614,076.75 is: 833,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,180.25 : 614,076.75 = 614,076.75 : x
  2. Step 2: Convert to fraction form
    452,180.25/614,076.75 = 614,076.75/x
  3. Step 3: Cross multiply
    452,180.25x = 614,076.75 × 614,076.75
  4. Step 4: Simplify right side
    452,180.25x = 377,090,254,890.56
  5. Step 5: Solve for x
    x = 377,090,254,890.56/452,180.25
  6. Step 6: Final answer
    x = 833,937.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.