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Finding the Third Proportional to 283,053 and 412,911

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Solution

The third proportional to 283,053 and 412,911 is: 602,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,053 : 412,911 = 412,911 : x
  2. Step 2: Convert to fraction form
    283,053/412,911 = 412,911/x
  3. Step 3: Cross multiply
    283,053x = 412,911 × 412,911
  4. Step 4: Simplify right side
    283,053x = 170,495,493,921
  5. Step 5: Solve for x
    x = 170,495,493,921/283,053
  6. Step 6: Final answer
    x = 602,344.77

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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.