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Finding the Third Proportional to 295,219.69 and 611,443.69

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Solution

The third proportional to 295,219.69 and 611,443.69 is: 1,266,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,219.69 : 611,443.69 = 611,443.69 : x
  2. Step 2: Convert to fraction form
    295,219.69/611,443.69 = 611,443.69/x
  3. Step 3: Cross multiply
    295,219.69x = 611,443.69 × 611,443.69
  4. Step 4: Simplify right side
    295,219.69x = 373,863,382,983.60
  5. Step 5: Solve for x
    x = 373,863,382,983.60/295,219.69
  6. Step 6: Final answer
    x = 1,266,390.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.