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Finding the Third Proportional to 230,625.38 and 506,653.50

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Solution

The third proportional to 230,625.38 and 506,653.50 is: 1,113,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,625.38 : 506,653.50 = 506,653.50 : x
  2. Step 2: Convert to fraction form
    230,625.38/506,653.50 = 506,653.50/x
  3. Step 3: Cross multiply
    230,625.38x = 506,653.50 × 506,653.50
  4. Step 4: Simplify right side
    230,625.38x = 256,697,769,062.25
  5. Step 5: Solve for x
    x = 256,697,769,062.25/230,625.38
  6. Step 6: Final answer
    x = 1,113,050.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.