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Finding the Third Proportional to 563,736 and 1,253,260.50

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Solution

The third proportional to 563,736 and 1,253,260.50 is: 2,786,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,736 : 1,253,260.50 = 1,253,260.50 : x
  2. Step 2: Convert to fraction form
    563,736/1,253,260.50 = 1,253,260.50/x
  3. Step 3: Cross multiply
    563,736x = 1,253,260.50 × 1,253,260.50
  4. Step 4: Simplify right side
    563,736x = 1,570,661,880,860.25
  5. Step 5: Solve for x
    x = 1,570,661,880,860.25/563,736
  6. Step 6: Final answer
    x = 2,786,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.