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Finding the Third Proportional to 275,493.84 and 425,708.16

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Solution

The third proportional to 275,493.84 and 425,708.16 is: 657,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,493.84 : 425,708.16 = 425,708.16 : x
  2. Step 2: Convert to fraction form
    275,493.84/425,708.16 = 425,708.16/x
  3. Step 3: Cross multiply
    275,493.84x = 425,708.16 × 425,708.16
  4. Step 4: Simplify right side
    275,493.84x = 181,227,434,297.77
  5. Step 5: Solve for x
    x = 181,227,434,297.77/275,493.84
  6. Step 6: Final answer
    x = 657,827.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.