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Finding the Third Proportional to 278,941 and 609,853

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Solution

The third proportional to 278,941 and 609,853 is: 1,333,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,941 : 609,853 = 609,853 : x
  2. Step 2: Convert to fraction form
    278,941/609,853 = 609,853/x
  3. Step 3: Cross multiply
    278,941x = 609,853 × 609,853
  4. Step 4: Simplify right side
    278,941x = 371,920,681,609
  5. Step 5: Solve for x
    x = 371,920,681,609/278,941
  6. Step 6: Final answer
    x = 1,333,331.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.