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Finding the Third Proportional to 677,518.50 and 990,829.50

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Solution

The third proportional to 677,518.50 and 990,829.50 is: 1,449,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,518.50 : 990,829.50 = 990,829.50 : x
  2. Step 2: Convert to fraction form
    677,518.50/990,829.50 = 990,829.50/x
  3. Step 3: Cross multiply
    677,518.50x = 990,829.50 × 990,829.50
  4. Step 4: Simplify right side
    677,518.50x = 981,743,098,070.25
  5. Step 5: Solve for x
    x = 981,743,098,070.25/677,518.50
  6. Step 6: Final answer
    x = 1,449,027.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.