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Finding the Third Proportional to 284,433 and 609,348

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Solution

The third proportional to 284,433 and 609,348 is: 1,305,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,433 : 609,348 = 609,348 : x
  2. Step 2: Convert to fraction form
    284,433/609,348 = 609,348/x
  3. Step 3: Cross multiply
    284,433x = 609,348 × 609,348
  4. Step 4: Simplify right side
    284,433x = 371,304,985,104
  5. Step 5: Solve for x
    x = 371,304,985,104/284,433
  6. Step 6: Final answer
    x = 1,305,421.61

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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.