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Finding the Third Proportional to 486,776.25 and 1,065,168

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Solution

The third proportional to 486,776.25 and 1,065,168 is: 2,330,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,776.25 : 1,065,168 = 1,065,168 : x
  2. Step 2: Convert to fraction form
    486,776.25/1,065,168 = 1,065,168/x
  3. Step 3: Cross multiply
    486,776.25x = 1,065,168 × 1,065,168
  4. Step 4: Simplify right side
    486,776.25x = 1,134,582,868,224
  5. Step 5: Solve for x
    x = 1,134,582,868,224/486,776.25
  6. Step 6: Final answer
    x = 2,330,809.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.