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Finding the Third Proportional to 295,080.75 and 632,234.25

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Solution

The third proportional to 295,080.75 and 632,234.25 is: 1,354,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,080.75 : 632,234.25 = 632,234.25 : x
  2. Step 2: Convert to fraction form
    295,080.75/632,234.25 = 632,234.25/x
  3. Step 3: Cross multiply
    295,080.75x = 632,234.25 × 632,234.25
  4. Step 4: Simplify right side
    295,080.75x = 399,720,146,873.06
  5. Step 5: Solve for x
    x = 399,720,146,873.06/295,080.75
  6. Step 6: Final answer
    x = 1,354,612.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.