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Finding the Third Proportional to 209,185 and 430,754

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Solution

The third proportional to 209,185 and 430,754 is: 887,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,185 : 430,754 = 430,754 : x
  2. Step 2: Convert to fraction form
    209,185/430,754 = 430,754/x
  3. Step 3: Cross multiply
    209,185x = 430,754 × 430,754
  4. Step 4: Simplify right side
    209,185x = 185,549,008,516
  5. Step 5: Solve for x
    x = 185,549,008,516/209,185
  6. Step 6: Final answer
    x = 887,009.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.