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Finding the Third Proportional to 578,844 and 894,508

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Solution

The third proportional to 578,844 and 894,508 is: 1,382,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,844 : 894,508 = 894,508 : x
  2. Step 2: Convert to fraction form
    578,844/894,508 = 894,508/x
  3. Step 3: Cross multiply
    578,844x = 894,508 × 894,508
  4. Step 4: Simplify right side
    578,844x = 800,144,562,064
  5. Step 5: Solve for x
    x = 800,144,562,064/578,844
  6. Step 6: Final answer
    x = 1,382,314.69

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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.