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Finding the Third Proportional to 293,447 and 609,853

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Solution

The third proportional to 293,447 and 609,853 is: 1,267,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,447 : 609,853 = 609,853 : x
  2. Step 2: Convert to fraction form
    293,447/609,853 = 609,853/x
  3. Step 3: Cross multiply
    293,447x = 609,853 × 609,853
  4. Step 4: Simplify right side
    293,447x = 371,920,681,609
  5. Step 5: Solve for x
    x = 371,920,681,609/293,447
  6. Step 6: Final answer
    x = 1,267,420.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.