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Finding the Third Proportional to 295,913.25 and 647,048.25

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Solution

The third proportional to 295,913.25 and 647,048.25 is: 1,414,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,913.25 : 647,048.25 = 647,048.25 : x
  2. Step 2: Convert to fraction form
    295,913.25/647,048.25 = 647,048.25/x
  3. Step 3: Cross multiply
    295,913.25x = 647,048.25 × 647,048.25
  4. Step 4: Simplify right side
    295,913.25x = 418,671,437,828.06
  5. Step 5: Solve for x
    x = 418,671,437,828.06/295,913.25
  6. Step 6: Final answer
    x = 1,414,845.19

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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.