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Finding the Third Proportional to 213,993.56 and 506,071.13

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Solution

The third proportional to 213,993.56 and 506,071.13 is: 1,196,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.56 : 506,071.13 = 506,071.13 : x
  2. Step 2: Convert to fraction form
    213,993.56/506,071.13 = 506,071.13/x
  3. Step 3: Cross multiply
    213,993.56x = 506,071.13 × 506,071.13
  4. Step 4: Simplify right side
    213,993.56x = 256,107,983,558.77
  5. Step 5: Solve for x
    x = 256,107,983,558.77/213,993.56
  6. Step 6: Final answer
    x = 1,196,802.28

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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.