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Finding the Third Proportional to 224,741.50 and 482,835

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Solution

The third proportional to 224,741.50 and 482,835 is: 1,037,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741.50 : 482,835 = 482,835 : x
  2. Step 2: Convert to fraction form
    224,741.50/482,835 = 482,835/x
  3. Step 3: Cross multiply
    224,741.50x = 482,835 × 482,835
  4. Step 4: Simplify right side
    224,741.50x = 233,129,637,225
  5. Step 5: Solve for x
    x = 233,129,637,225/224,741.50
  6. Step 6: Final answer
    x = 1,037,323.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.