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Finding the Third Proportional to 295,008.75 and 632,080.13

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Solution

The third proportional to 295,008.75 and 632,080.13 is: 1,354,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,008.75 : 632,080.13 = 632,080.13 : x
  2. Step 2: Convert to fraction form
    295,008.75/632,080.13 = 632,080.13/x
  3. Step 3: Cross multiply
    295,008.75x = 632,080.13 × 632,080.13
  4. Step 4: Simplify right side
    295,008.75x = 399,525,284,420.02
  5. Step 5: Solve for x
    x = 399,525,284,420.02/295,008.75
  6. Step 6: Final answer
    x = 1,354,282.83

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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.