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Finding the Third Proportional to 414,957 and 905,298

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Solution

The third proportional to 414,957 and 905,298 is: 1,975,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,957 : 905,298 = 905,298 : x
  2. Step 2: Convert to fraction form
    414,957/905,298 = 905,298/x
  3. Step 3: Cross multiply
    414,957x = 905,298 × 905,298
  4. Step 4: Simplify right side
    414,957x = 819,564,468,804
  5. Step 5: Solve for x
    x = 819,564,468,804/414,957
  6. Step 6: Final answer
    x = 1,975,058.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.