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Finding the Third Proportional to 576,309.94 and 830,184.19

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Solution

The third proportional to 576,309.94 and 830,184.19 is: 1,195,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,309.94 : 830,184.19 = 830,184.19 : x
  2. Step 2: Convert to fraction form
    576,309.94/830,184.19 = 830,184.19/x
  3. Step 3: Cross multiply
    576,309.94x = 830,184.19 × 830,184.19
  4. Step 4: Simplify right side
    576,309.94x = 689,205,785,175.04
  5. Step 5: Solve for x
    x = 689,205,785,175.04/576,309.94
  6. Step 6: Final answer
    x = 1,195,894.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.