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Finding the Third Proportional to 563,845.50 and 874,401.75

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Solution

The third proportional to 563,845.50 and 874,401.75 is: 1,356,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,845.50 : 874,401.75 = 874,401.75 : x
  2. Step 2: Convert to fraction form
    563,845.50/874,401.75 = 874,401.75/x
  3. Step 3: Cross multiply
    563,845.50x = 874,401.75 × 874,401.75
  4. Step 4: Simplify right side
    563,845.50x = 764,578,420,403.06
  5. Step 5: Solve for x
    x = 764,578,420,403.06/563,845.50
  6. Step 6: Final answer
    x = 1,356,006.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.