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Finding the Third Proportional to 250,083 and 517,653

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Solution

The third proportional to 250,083 and 517,653 is: 1,071,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,083 : 517,653 = 517,653 : x
  2. Step 2: Convert to fraction form
    250,083/517,653 = 517,653/x
  3. Step 3: Cross multiply
    250,083x = 517,653 × 517,653
  4. Step 4: Simplify right side
    250,083x = 267,964,628,409
  5. Step 5: Solve for x
    x = 267,964,628,409/250,083
  6. Step 6: Final answer
    x = 1,071,502.77

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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.