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Finding the Third Proportional to 670,396.50 and 992,557.13

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Solution

The third proportional to 670,396.50 and 992,557.13 is: 1,469,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,396.50 : 992,557.13 = 992,557.13 : x
  2. Step 2: Convert to fraction form
    670,396.50/992,557.13 = 992,557.13/x
  3. Step 3: Cross multiply
    670,396.50x = 992,557.13 × 992,557.13
  4. Step 4: Simplify right side
    670,396.50x = 985,169,646,388.27
  5. Step 5: Solve for x
    x = 985,169,646,388.27/670,396.50
  6. Step 6: Final answer
    x = 1,469,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.