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Finding the Third Proportional to 284,442 and 609,363

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Solution

The third proportional to 284,442 and 609,363 is: 1,305,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,442 : 609,363 = 609,363 : x
  2. Step 2: Convert to fraction form
    284,442/609,363 = 609,363/x
  3. Step 3: Cross multiply
    284,442x = 609,363 × 609,363
  4. Step 4: Simplify right side
    284,442x = 371,323,265,769
  5. Step 5: Solve for x
    x = 371,323,265,769/284,442
  6. Step 6: Final answer
    x = 1,305,444.57

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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.