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Finding the Third Proportional to 284,608.69 and 425,374.03

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Solution

The third proportional to 284,608.69 and 425,374.03 is: 635,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,608.69 : 425,374.03 = 425,374.03 : x
  2. Step 2: Convert to fraction form
    284,608.69/425,374.03 = 425,374.03/x
  3. Step 3: Cross multiply
    284,608.69x = 425,374.03 × 425,374.03
  4. Step 4: Simplify right side
    284,608.69x = 180,943,066,461.88
  5. Step 5: Solve for x
    x = 180,943,066,461.88/284,608.69
  6. Step 6: Final answer
    x = 635,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.