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Finding the Third Proportional to 295,161.75 and 652,343.63

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Solution

The third proportional to 295,161.75 and 652,343.63 is: 1,441,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,161.75 : 652,343.63 = 652,343.63 : x
  2. Step 2: Convert to fraction form
    295,161.75/652,343.63 = 652,343.63/x
  3. Step 3: Cross multiply
    295,161.75x = 652,343.63 × 652,343.63
  4. Step 4: Simplify right side
    295,161.75x = 425,552,205,078.14
  5. Step 5: Solve for x
    x = 425,552,205,078.14/295,161.75
  6. Step 6: Final answer
    x = 1,441,759.32

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.