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Finding the Third Proportional to 657,433.50 and 1,414,738.50

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Solution

The third proportional to 657,433.50 and 1,414,738.50 is: 3,044,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,433.50 : 1,414,738.50 = 1,414,738.50 : x
  2. Step 2: Convert to fraction form
    657,433.50/1,414,738.50 = 1,414,738.50/x
  3. Step 3: Cross multiply
    657,433.50x = 1,414,738.50 × 1,414,738.50
  4. Step 4: Simplify right side
    657,433.50x = 2,001,485,023,382.25
  5. Step 5: Solve for x
    x = 2,001,485,023,382.25/657,433.50
  6. Step 6: Final answer
    x = 3,044,391.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.