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Finding the Third Proportional to 337,975.50 and 723,927

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Solution

The third proportional to 337,975.50 and 723,927 is: 1,550,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,975.50 : 723,927 = 723,927 : x
  2. Step 2: Convert to fraction form
    337,975.50/723,927 = 723,927/x
  3. Step 3: Cross multiply
    337,975.50x = 723,927 × 723,927
  4. Step 4: Simplify right side
    337,975.50x = 524,070,301,329
  5. Step 5: Solve for x
    x = 524,070,301,329/337,975.50
  6. Step 6: Final answer
    x = 1,550,616.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.