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Finding the Third Proportional to 590,631.75 and 885,765.38

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Solution

The third proportional to 590,631.75 and 885,765.38 is: 1,328,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,631.75 : 885,765.38 = 885,765.38 : x
  2. Step 2: Convert to fraction form
    590,631.75/885,765.38 = 885,765.38/x
  3. Step 3: Cross multiply
    590,631.75x = 885,765.38 × 885,765.38
  4. Step 4: Simplify right side
    590,631.75x = 784,580,299,548.89
  5. Step 5: Solve for x
    x = 784,580,299,548.89/590,631.75
  6. Step 6: Final answer
    x = 1,328,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.