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Finding the Third Proportional to 441,838.50 and 700,756.50

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Solution

The third proportional to 441,838.50 and 700,756.50 is: 1,111,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,838.50 : 700,756.50 = 700,756.50 : x
  2. Step 2: Convert to fraction form
    441,838.50/700,756.50 = 700,756.50/x
  3. Step 3: Cross multiply
    441,838.50x = 700,756.50 × 700,756.50
  4. Step 4: Simplify right side
    441,838.50x = 491,059,672,292.25
  5. Step 5: Solve for x
    x = 491,059,672,292.25/441,838.50
  6. Step 6: Final answer
    x = 1,111,400.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.