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Finding the Third Proportional to 234,447.75 and 513,607.50

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Solution

The third proportional to 234,447.75 and 513,607.50 is: 1,125,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,447.75 : 513,607.50 = 513,607.50 : x
  2. Step 2: Convert to fraction form
    234,447.75/513,607.50 = 513,607.50/x
  3. Step 3: Cross multiply
    234,447.75x = 513,607.50 × 513,607.50
  4. Step 4: Simplify right side
    234,447.75x = 263,792,664,056.25
  5. Step 5: Solve for x
    x = 263,792,664,056.25/234,447.75
  6. Step 6: Final answer
    x = 1,125,166.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.