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Finding the Third Proportional to 385,506.19 and 835,366.88

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Solution

The third proportional to 385,506.19 and 835,366.88 is: 1,810,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.19 : 835,366.88 = 835,366.88 : x
  2. Step 2: Convert to fraction form
    385,506.19/835,366.88 = 835,366.88/x
  3. Step 3: Cross multiply
    385,506.19x = 835,366.88 × 835,366.88
  4. Step 4: Simplify right side
    385,506.19x = 697,837,815,847.27
  5. Step 5: Solve for x
    x = 697,837,815,847.27/385,506.19
  6. Step 6: Final answer
    x = 1,810,185.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.