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Finding the Third Proportional to 622,857.38 and 934,287.75

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Solution

The third proportional to 622,857.38 and 934,287.75 is: 1,401,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,857.38 : 934,287.75 = 934,287.75 : x
  2. Step 2: Convert to fraction form
    622,857.38/934,287.75 = 934,287.75/x
  3. Step 3: Cross multiply
    622,857.38x = 934,287.75 × 934,287.75
  4. Step 4: Simplify right side
    622,857.38x = 872,893,599,800.06
  5. Step 5: Solve for x
    x = 872,893,599,800.06/622,857.38
  6. Step 6: Final answer
    x = 1,401,434.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.