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Finding the Third Proportional to 616,837.50 and 967,857

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Solution

The third proportional to 616,837.50 and 967,857 is: 1,518,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,837.50 : 967,857 = 967,857 : x
  2. Step 2: Convert to fraction form
    616,837.50/967,857 = 967,857/x
  3. Step 3: Cross multiply
    616,837.50x = 967,857 × 967,857
  4. Step 4: Simplify right side
    616,837.50x = 936,747,172,449
  5. Step 5: Solve for x
    x = 936,747,172,449/616,837.50
  6. Step 6: Final answer
    x = 1,518,628.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.