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Finding the Third Proportional to 563,769 and 873,517.50

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Solution

The third proportional to 563,769 and 873,517.50 is: 1,353,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,769 : 873,517.50 = 873,517.50 : x
  2. Step 2: Convert to fraction form
    563,769/873,517.50 = 873,517.50/x
  3. Step 3: Cross multiply
    563,769x = 873,517.50 × 873,517.50
  4. Step 4: Simplify right side
    563,769x = 763,032,822,806.25
  5. Step 5: Solve for x
    x = 763,032,822,806.25/563,769
  6. Step 6: Final answer
    x = 1,353,449.41

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