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Finding the Third Proportional to 430,618.78 and 927,045

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Solution

The third proportional to 430,618.78 and 927,045 is: 1,995,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,618.78 : 927,045 = 927,045 : x
  2. Step 2: Convert to fraction form
    430,618.78/927,045 = 927,045/x
  3. Step 3: Cross multiply
    430,618.78x = 927,045 × 927,045
  4. Step 4: Simplify right side
    430,618.78x = 859,412,432,025
  5. Step 5: Solve for x
    x = 859,412,432,025/430,618.78
  6. Step 6: Final answer
    x = 1,995,761.61

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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.