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Finding the Third Proportional to 235,122.75 and 500,590.13

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Solution

The third proportional to 235,122.75 and 500,590.13 is: 1,065,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,122.75 : 500,590.13 = 500,590.13 : x
  2. Step 2: Convert to fraction form
    235,122.75/500,590.13 = 500,590.13/x
  3. Step 3: Cross multiply
    235,122.75x = 500,590.13 × 500,590.13
  4. Step 4: Simplify right side
    235,122.75x = 250,590,473,247.52
  5. Step 5: Solve for x
    x = 250,590,473,247.52/235,122.75
  6. Step 6: Final answer
    x = 1,065,785.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.