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Finding the Third Proportional to 283,167 and 428,377.50

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Solution

The third proportional to 283,167 and 428,377.50 is: 648,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,167 : 428,377.50 = 428,377.50 : x
  2. Step 2: Convert to fraction form
    283,167/428,377.50 = 428,377.50/x
  3. Step 3: Cross multiply
    283,167x = 428,377.50 × 428,377.50
  4. Step 4: Simplify right side
    283,167x = 183,507,282,506.25
  5. Step 5: Solve for x
    x = 183,507,282,506.25/283,167
  6. Step 6: Final answer
    x = 648,053.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.