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Finding the Third Proportional to 225,317 and 456,850

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Solution

The third proportional to 225,317 and 456,850 is: 926,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,317 : 456,850 = 456,850 : x
  2. Step 2: Convert to fraction form
    225,317/456,850 = 456,850/x
  3. Step 3: Cross multiply
    225,317x = 456,850 × 456,850
  4. Step 4: Simplify right side
    225,317x = 208,711,922,500
  5. Step 5: Solve for x
    x = 208,711,922,500/225,317
  6. Step 6: Final answer
    x = 926,303.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.