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Finding the Third Proportional to 585,675 and 885,888

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Solution

The third proportional to 585,675 and 885,888 is: 1,339,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,675 : 885,888 = 885,888 : x
  2. Step 2: Convert to fraction form
    585,675/885,888 = 885,888/x
  3. Step 3: Cross multiply
    585,675x = 885,888 × 885,888
  4. Step 4: Simplify right side
    585,675x = 784,797,548,544
  5. Step 5: Solve for x
    x = 784,797,548,544/585,675
  6. Step 6: Final answer
    x = 1,339,988.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.