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Finding the Third Proportional to 563,922 and 863,743.50

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Solution

The third proportional to 563,922 and 863,743.50 is: 1,322,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,922 : 863,743.50 = 863,743.50 : x
  2. Step 2: Convert to fraction form
    563,922/863,743.50 = 863,743.50/x
  3. Step 3: Cross multiply
    563,922x = 863,743.50 × 863,743.50
  4. Step 4: Simplify right side
    563,922x = 746,052,833,792.25
  5. Step 5: Solve for x
    x = 746,052,833,792.25/563,922
  6. Step 6: Final answer
    x = 1,322,971.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.