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Finding the Third Proportional to 283,048 and 412,905

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Solution

The third proportional to 283,048 and 412,905 is: 602,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,048 : 412,905 = 412,905 : x
  2. Step 2: Convert to fraction form
    283,048/412,905 = 412,905/x
  3. Step 3: Cross multiply
    283,048x = 412,905 × 412,905
  4. Step 4: Simplify right side
    283,048x = 170,490,539,025
  5. Step 5: Solve for x
    x = 170,490,539,025/283,048
  6. Step 6: Final answer
    x = 602,337.90

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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.