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Finding the Third Proportional to 295,245.75 and 627,397.13

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Solution

The third proportional to 295,245.75 and 627,397.13 is: 1,333,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,245.75 : 627,397.13 = 627,397.13 : x
  2. Step 2: Convert to fraction form
    295,245.75/627,397.13 = 627,397.13/x
  3. Step 3: Cross multiply
    295,245.75x = 627,397.13 × 627,397.13
  4. Step 4: Simplify right side
    295,245.75x = 393,627,152,458.27
  5. Step 5: Solve for x
    x = 393,627,152,458.27/295,245.75
  6. Step 6: Final answer
    x = 1,333,218.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.