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Finding the Third Proportional to 452,364.75 and 700,717.50

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Solution

The third proportional to 452,364.75 and 700,717.50 is: 1,085,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,364.75 : 700,717.50 = 700,717.50 : x
  2. Step 2: Convert to fraction form
    452,364.75/700,717.50 = 700,717.50/x
  3. Step 3: Cross multiply
    452,364.75x = 700,717.50 × 700,717.50
  4. Step 4: Simplify right side
    452,364.75x = 491,005,014,806.25
  5. Step 5: Solve for x
    x = 491,005,014,806.25/452,364.75
  6. Step 6: Final answer
    x = 1,085,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.