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Finding the Third Proportional to 234,019.50 and 503,047.50

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Solution

The third proportional to 234,019.50 and 503,047.50 is: 1,081,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,019.50 : 503,047.50 = 503,047.50 : x
  2. Step 2: Convert to fraction form
    234,019.50/503,047.50 = 503,047.50/x
  3. Step 3: Cross multiply
    234,019.50x = 503,047.50 × 503,047.50
  4. Step 4: Simplify right side
    234,019.50x = 253,056,787,256.25
  5. Step 5: Solve for x
    x = 253,056,787,256.25/234,019.50
  6. Step 6: Final answer
    x = 1,081,349.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.