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Finding the Third Proportional to 411,553.50 and 867,942

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Solution

The third proportional to 411,553.50 and 867,942 is: 1,830,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,553.50 : 867,942 = 867,942 : x
  2. Step 2: Convert to fraction form
    411,553.50/867,942 = 867,942/x
  3. Step 3: Cross multiply
    411,553.50x = 867,942 × 867,942
  4. Step 4: Simplify right side
    411,553.50x = 753,323,315,364
  5. Step 5: Solve for x
    x = 753,323,315,364/411,553.50
  6. Step 6: Final answer
    x = 1,830,438.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.