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Finding the Third Proportional to 579,024 and 894,783

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Solution

The third proportional to 579,024 and 894,783 is: 1,382,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,024 : 894,783 = 894,783 : x
  2. Step 2: Convert to fraction form
    579,024/894,783 = 894,783/x
  3. Step 3: Cross multiply
    579,024x = 894,783 × 894,783
  4. Step 4: Simplify right side
    579,024x = 800,636,617,089
  5. Step 5: Solve for x
    x = 800,636,617,089/579,024
  6. Step 6: Final answer
    x = 1,382,734.77

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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.