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Finding the Third Proportional to 576,645.75 and 887,544.84

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Solution

The third proportional to 576,645.75 and 887,544.84 is: 1,366,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,645.75 : 887,544.84 = 887,544.84 : x
  2. Step 2: Convert to fraction form
    576,645.75/887,544.84 = 887,544.84/x
  3. Step 3: Cross multiply
    576,645.75x = 887,544.84 × 887,544.84
  4. Step 4: Simplify right side
    576,645.75x = 787,735,849,667.21
  5. Step 5: Solve for x
    x = 787,735,849,667.21/576,645.75
  6. Step 6: Final answer
    x = 1,366,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.