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Finding the Third Proportional to 297,025.13 and 609,796.13

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Solution

The third proportional to 297,025.13 and 609,796.13 is: 1,251,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,025.13 : 609,796.13 = 609,796.13 : x
  2. Step 2: Convert to fraction form
    297,025.13/609,796.13 = 609,796.13/x
  3. Step 3: Cross multiply
    297,025.13x = 609,796.13 × 609,796.13
  4. Step 4: Simplify right side
    297,025.13x = 371,851,314,065.02
  5. Step 5: Solve for x
    x = 371,851,314,065.02/297,025.13
  6. Step 6: Final answer
    x = 1,251,918.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.