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Finding the Third Proportional to 278,592 and 601,516

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Solution

The third proportional to 278,592 and 601,516 is: 1,298,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,592 : 601,516 = 601,516 : x
  2. Step 2: Convert to fraction form
    278,592/601,516 = 601,516/x
  3. Step 3: Cross multiply
    278,592x = 601,516 × 601,516
  4. Step 4: Simplify right side
    278,592x = 361,821,498,256
  5. Step 5: Solve for x
    x = 361,821,498,256/278,592
  6. Step 6: Final answer
    x = 1,298,750.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.