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Finding the Third Proportional to 299,859 and 707,863.50

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Solution

The third proportional to 299,859 and 707,863.50 is: 1,671,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,859 : 707,863.50 = 707,863.50 : x
  2. Step 2: Convert to fraction form
    299,859/707,863.50 = 707,863.50/x
  3. Step 3: Cross multiply
    299,859x = 707,863.50 × 707,863.50
  4. Step 4: Simplify right side
    299,859x = 501,070,734,632.25
  5. Step 5: Solve for x
    x = 501,070,734,632.25/299,859
  6. Step 6: Final answer
    x = 1,671,021.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.