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Finding the Third Proportional to 499,444.75 and 1,078,694.50

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Solution

The third proportional to 499,444.75 and 1,078,694.50 is: 2,329,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,444.75 : 1,078,694.50 = 1,078,694.50 : x
  2. Step 2: Convert to fraction form
    499,444.75/1,078,694.50 = 1,078,694.50/x
  3. Step 3: Cross multiply
    499,444.75x = 1,078,694.50 × 1,078,694.50
  4. Step 4: Simplify right side
    499,444.75x = 1,163,581,824,330.25
  5. Step 5: Solve for x
    x = 1,163,581,824,330.25/499,444.75
  6. Step 6: Final answer
    x = 2,329,750.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.