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Finding the Third Proportional to 576,496.62 and 842,524.66

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Solution

The third proportional to 576,496.62 and 842,524.66 is: 1,231,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,496.62 : 842,524.66 = 842,524.66 : x
  2. Step 2: Convert to fraction form
    576,496.62/842,524.66 = 842,524.66/x
  3. Step 3: Cross multiply
    576,496.62x = 842,524.66 × 842,524.66
  4. Step 4: Simplify right side
    576,496.62x = 709,847,809,553.63
  5. Step 5: Solve for x
    x = 709,847,809,553.63/576,496.62
  6. Step 6: Final answer
    x = 1,231,313.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.