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Finding the Third Proportional to 468,033.19 and 668,827.13

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Solution

The third proportional to 468,033.19 and 668,827.13 is: 955,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,033.19 : 668,827.13 = 668,827.13 : x
  2. Step 2: Convert to fraction form
    468,033.19/668,827.13 = 668,827.13/x
  3. Step 3: Cross multiply
    468,033.19x = 668,827.13 × 668,827.13
  4. Step 4: Simplify right side
    468,033.19x = 447,329,723,135.77
  5. Step 5: Solve for x
    x = 447,329,723,135.77/468,033.19
  6. Step 6: Final answer
    x = 955,764.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.