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Finding the Third Proportional to 631,197 and 887,824.50

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Solution

The third proportional to 631,197 and 887,824.50 is: 1,248,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,197 : 887,824.50 = 887,824.50 : x
  2. Step 2: Convert to fraction form
    631,197/887,824.50 = 887,824.50/x
  3. Step 3: Cross multiply
    631,197x = 887,824.50 × 887,824.50
  4. Step 4: Simplify right side
    631,197x = 788,232,342,800.25
  5. Step 5: Solve for x
    x = 788,232,342,800.25/631,197
  6. Step 6: Final answer
    x = 1,248,789.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.