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Finding the Third Proportional to 578,890.13 and 894,579.19

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Solution

The third proportional to 578,890.13 and 894,579.19 is: 1,382,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,890.13 : 894,579.19 = 894,579.19 : x
  2. Step 2: Convert to fraction form
    578,890.13/894,579.19 = 894,579.19/x
  3. Step 3: Cross multiply
    578,890.13x = 894,579.19 × 894,579.19
  4. Step 4: Simplify right side
    578,890.13x = 800,271,922,708.16
  5. Step 5: Solve for x
    x = 800,271,922,708.16/578,890.13
  6. Step 6: Final answer
    x = 1,382,424.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.