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Finding the Third Proportional to 653,077.69 and 983,443.78

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Solution

The third proportional to 653,077.69 and 983,443.78 is: 1,480,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,077.69 : 983,443.78 = 983,443.78 : x
  2. Step 2: Convert to fraction form
    653,077.69/983,443.78 = 983,443.78/x
  3. Step 3: Cross multiply
    653,077.69x = 983,443.78 × 983,443.78
  4. Step 4: Simplify right side
    653,077.69x = 967,161,670,879.30
  5. Step 5: Solve for x
    x = 967,161,670,879.30/653,077.69
  6. Step 6: Final answer
    x = 1,480,928.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.