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Finding the Third Proportional to 300,790.13 and 668,827.13

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Solution

The third proportional to 300,790.13 and 668,827.13 is: 1,487,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,790.13 : 668,827.13 = 668,827.13 : x
  2. Step 2: Convert to fraction form
    300,790.13/668,827.13 = 668,827.13/x
  3. Step 3: Cross multiply
    300,790.13x = 668,827.13 × 668,827.13
  4. Step 4: Simplify right side
    300,790.13x = 447,329,723,135.77
  5. Step 5: Solve for x
    x = 447,329,723,135.77/300,790.13
  6. Step 6: Final answer
    x = 1,487,182.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.