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Finding the Third Proportional to 411,036 and 614,883

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Solution

The third proportional to 411,036 and 614,883 is: 919,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,036 : 614,883 = 614,883 : x
  2. Step 2: Convert to fraction form
    411,036/614,883 = 614,883/x
  3. Step 3: Cross multiply
    411,036x = 614,883 × 614,883
  4. Step 4: Simplify right side
    411,036x = 378,081,103,689
  5. Step 5: Solve for x
    x = 378,081,103,689/411,036
  6. Step 6: Final answer
    x = 919,824.79

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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.