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Finding the Third Proportional to 496,750.85 and 787,878.14

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Solution

The third proportional to 496,750.85 and 787,878.14 is: 1,249,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,750.85 : 787,878.14 = 787,878.14 : x
  2. Step 2: Convert to fraction form
    496,750.85/787,878.14 = 787,878.14/x
  3. Step 3: Cross multiply
    496,750.85x = 787,878.14 × 787,878.14
  4. Step 4: Simplify right side
    496,750.85x = 620,751,964,474.71
  5. Step 5: Solve for x
    x = 620,751,964,474.71/496,750.85
  6. Step 6: Final answer
    x = 1,249,624.36

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Why These Related Problems?

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