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Finding the Third Proportional to 284,444 and 609,370

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Solution

The third proportional to 284,444 and 609,370 is: 1,305,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,444 : 609,370 = 609,370 : x
  2. Step 2: Convert to fraction form
    284,444/609,370 = 609,370/x
  3. Step 3: Cross multiply
    284,444x = 609,370 × 609,370
  4. Step 4: Simplify right side
    284,444x = 371,331,796,900
  5. Step 5: Solve for x
    x = 371,331,796,900/284,444
  6. Step 6: Final answer
    x = 1,305,465.39

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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.