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Finding the Third Proportional to 576,484.88 and 916,049.25

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Solution

The third proportional to 576,484.88 and 916,049.25 is: 1,455,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,484.88 : 916,049.25 = 916,049.25 : x
  2. Step 2: Convert to fraction form
    576,484.88/916,049.25 = 916,049.25/x
  3. Step 3: Cross multiply
    576,484.88x = 916,049.25 × 916,049.25
  4. Step 4: Simplify right side
    576,484.88x = 839,146,228,425.56
  5. Step 5: Solve for x
    x = 839,146,228,425.56/576,484.88
  6. Step 6: Final answer
    x = 1,455,625.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.