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Finding the Third Proportional to 296,634.75 and 614,298

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Solution

The third proportional to 296,634.75 and 614,298 is: 1,272,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,634.75 : 614,298 = 614,298 : x
  2. Step 2: Convert to fraction form
    296,634.75/614,298 = 614,298/x
  3. Step 3: Cross multiply
    296,634.75x = 614,298 × 614,298
  4. Step 4: Simplify right side
    296,634.75x = 377,362,032,804
  5. Step 5: Solve for x
    x = 377,362,032,804/296,634.75
  6. Step 6: Final answer
    x = 1,272,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.