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Finding the Third Proportional to 284,435 and 609,352

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Solution

The third proportional to 284,435 and 609,352 is: 1,305,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,435 : 609,352 = 609,352 : x
  2. Step 2: Convert to fraction form
    284,435/609,352 = 609,352/x
  3. Step 3: Cross multiply
    284,435x = 609,352 × 609,352
  4. Step 4: Simplify right side
    284,435x = 371,309,859,904
  5. Step 5: Solve for x
    x = 371,309,859,904/284,435
  6. Step 6: Final answer
    x = 1,305,429.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.