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Finding the Third Proportional to 224,653.50 and 493,533

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Solution

The third proportional to 224,653.50 and 493,533 is: 1,084,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,653.50 : 493,533 = 493,533 : x
  2. Step 2: Convert to fraction form
    224,653.50/493,533 = 493,533/x
  3. Step 3: Cross multiply
    224,653.50x = 493,533 × 493,533
  4. Step 4: Simplify right side
    224,653.50x = 243,574,822,089
  5. Step 5: Solve for x
    x = 243,574,822,089/224,653.50
  6. Step 6: Final answer
    x = 1,084,224.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.