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Finding the Third Proportional to 565,382.53 and 1,219,332.23

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Solution

The third proportional to 565,382.53 and 1,219,332.23 is: 2,629,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,382.53 : 1,219,332.23 = 1,219,332.23 : x
  2. Step 2: Convert to fraction form
    565,382.53/1,219,332.23 = 1,219,332.23/x
  3. Step 3: Cross multiply
    565,382.53x = 1,219,332.23 × 1,219,332.23
  4. Step 4: Simplify right side
    565,382.53x = 1,486,771,097,785.93
  5. Step 5: Solve for x
    x = 1,486,771,097,785.93/565,382.53
  6. Step 6: Final answer
    x = 2,629,672.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.