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Finding the Third Proportional to 213,993.88 and 506,071.75

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Solution

The third proportional to 213,993.88 and 506,071.75 is: 1,196,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.88 : 506,071.75 = 506,071.75 : x
  2. Step 2: Convert to fraction form
    213,993.88/506,071.75 = 506,071.75/x
  3. Step 3: Cross multiply
    213,993.88x = 506,071.75 × 506,071.75
  4. Step 4: Simplify right side
    213,993.88x = 256,108,616,148.06
  5. Step 5: Solve for x
    x = 256,108,616,148.06/213,993.88
  6. Step 6: Final answer
    x = 1,196,803.49

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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.