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Finding the Third Proportional to 697,495.25 and 987,227.50

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Solution

The third proportional to 697,495.25 and 987,227.50 is: 1,397,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,495.25 : 987,227.50 = 987,227.50 : x
  2. Step 2: Convert to fraction form
    697,495.25/987,227.50 = 987,227.50/x
  3. Step 3: Cross multiply
    697,495.25x = 987,227.50 × 987,227.50
  4. Step 4: Simplify right side
    697,495.25x = 974,618,136,756.25
  5. Step 5: Solve for x
    x = 974,618,136,756.25/697,495.25
  6. Step 6: Final answer
    x = 1,397,311.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.