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Finding the Third Proportional to 652,016 and 997,400

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Solution

The third proportional to 652,016 and 997,400 is: 1,525,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,016 : 997,400 = 997,400 : x
  2. Step 2: Convert to fraction form
    652,016/997,400 = 997,400/x
  3. Step 3: Cross multiply
    652,016x = 997,400 × 997,400
  4. Step 4: Simplify right side
    652,016x = 994,806,760,000
  5. Step 5: Solve for x
    x = 994,806,760,000/652,016
  6. Step 6: Final answer
    x = 1,525,739.80

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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.