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Finding the Third Proportional to 587,151.75 and 899,682

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Solution

The third proportional to 587,151.75 and 899,682 is: 1,378,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,151.75 : 899,682 = 899,682 : x
  2. Step 2: Convert to fraction form
    587,151.75/899,682 = 899,682/x
  3. Step 3: Cross multiply
    587,151.75x = 899,682 × 899,682
  4. Step 4: Simplify right side
    587,151.75x = 809,427,701,124
  5. Step 5: Solve for x
    x = 809,427,701,124/587,151.75
  6. Step 6: Final answer
    x = 1,378,566.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.