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Finding the Third Proportional to 278,323 and 595,998

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Solution

The third proportional to 278,323 and 595,998 is: 1,276,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,323 : 595,998 = 595,998 : x
  2. Step 2: Convert to fraction form
    278,323/595,998 = 595,998/x
  3. Step 3: Cross multiply
    278,323x = 595,998 × 595,998
  4. Step 4: Simplify right side
    278,323x = 355,213,616,004
  5. Step 5: Solve for x
    x = 355,213,616,004/278,323
  6. Step 6: Final answer
    x = 1,276,263.97

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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.