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Finding the Third Proportional to 411,062 and 614,913

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Solution

The third proportional to 411,062 and 614,913 is: 919,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,062 : 614,913 = 614,913 : x
  2. Step 2: Convert to fraction form
    411,062/614,913 = 614,913/x
  3. Step 3: Cross multiply
    411,062x = 614,913 × 614,913
  4. Step 4: Simplify right side
    411,062x = 378,117,997,569
  5. Step 5: Solve for x
    x = 378,117,997,569/411,062
  6. Step 6: Final answer
    x = 919,856.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.