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Finding the Third Proportional to 385,087.13 and 887,464.95

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Solution

The third proportional to 385,087.13 and 887,464.95 is: 2,045,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,087.13 : 887,464.95 = 887,464.95 : x
  2. Step 2: Convert to fraction form
    385,087.13/887,464.95 = 887,464.95/x
  3. Step 3: Cross multiply
    385,087.13x = 887,464.95 × 887,464.95
  4. Step 4: Simplify right side
    385,087.13x = 787,594,039,558.47
  5. Step 5: Solve for x
    x = 787,594,039,558.47/385,087.13
  6. Step 6: Final answer
    x = 2,045,235.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.