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Finding the Third Proportional to 295,899.75 and 647,169.75

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Solution

The third proportional to 295,899.75 and 647,169.75 is: 1,415,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899.75 : 647,169.75 = 647,169.75 : x
  2. Step 2: Convert to fraction form
    295,899.75/647,169.75 = 647,169.75/x
  3. Step 3: Cross multiply
    295,899.75x = 647,169.75 × 647,169.75
  4. Step 4: Simplify right side
    295,899.75x = 418,828,685,315.06
  5. Step 5: Solve for x
    x = 418,828,685,315.06/295,899.75
  6. Step 6: Final answer
    x = 1,415,441.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.