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Finding the Third Proportional to 452,715.75 and 634,520.25

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Solution

The third proportional to 452,715.75 and 634,520.25 is: 889,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,715.75 : 634,520.25 = 634,520.25 : x
  2. Step 2: Convert to fraction form
    452,715.75/634,520.25 = 634,520.25/x
  3. Step 3: Cross multiply
    452,715.75x = 634,520.25 × 634,520.25
  4. Step 4: Simplify right side
    452,715.75x = 402,615,947,660.06
  5. Step 5: Solve for x
    x = 402,615,947,660.06/452,715.75
  6. Step 6: Final answer
    x = 889,334.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.