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Finding the Third Proportional to 225,315 and 456,846

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Solution

The third proportional to 225,315 and 456,846 is: 926,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,315 : 456,846 = 456,846 : x
  2. Step 2: Convert to fraction form
    225,315/456,846 = 456,846/x
  3. Step 3: Cross multiply
    225,315x = 456,846 × 456,846
  4. Step 4: Simplify right side
    225,315x = 208,708,267,716
  5. Step 5: Solve for x
    x = 208,708,267,716/225,315
  6. Step 6: Final answer
    x = 926,295.49

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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.