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Finding the Third Proportional to 283,045.50 and 412,902

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Solution

The third proportional to 283,045.50 and 412,902 is: 602,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,045.50 : 412,902 = 412,902 : x
  2. Step 2: Convert to fraction form
    283,045.50/412,902 = 412,902/x
  3. Step 3: Cross multiply
    283,045.50x = 412,902 × 412,902
  4. Step 4: Simplify right side
    283,045.50x = 170,488,061,604
  5. Step 5: Solve for x
    x = 170,488,061,604/283,045.50
  6. Step 6: Final answer
    x = 602,334.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.