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Finding the Third Proportional to 223,991 and 483,612.50

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Solution

The third proportional to 223,991 and 483,612.50 is: 1,044,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,991 : 483,612.50 = 483,612.50 : x
  2. Step 2: Convert to fraction form
    223,991/483,612.50 = 483,612.50/x
  3. Step 3: Cross multiply
    223,991x = 483,612.50 × 483,612.50
  4. Step 4: Simplify right side
    223,991x = 233,881,050,156.25
  5. Step 5: Solve for x
    x = 233,881,050,156.25/223,991
  6. Step 6: Final answer
    x = 1,044,153.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.