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Finding the Third Proportional to 233,197.42 and 627,510.96

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Solution

The third proportional to 233,197.42 and 627,510.96 is: 1,688,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,197.42 : 627,510.96 = 627,510.96 : x
  2. Step 2: Convert to fraction form
    233,197.42/627,510.96 = 627,510.96/x
  3. Step 3: Cross multiply
    233,197.42x = 627,510.96 × 627,510.96
  4. Step 4: Simplify right side
    233,197.42x = 393,769,998,743.05
  5. Step 5: Solve for x
    x = 393,769,998,743.05/233,197.42
  6. Step 6: Final answer
    x = 1,688,569.29

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.