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Finding the Third Proportional to 278,776 and 593,516

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Solution

The third proportional to 278,776 and 593,516 is: 1,263,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,776 : 593,516 = 593,516 : x
  2. Step 2: Convert to fraction form
    278,776/593,516 = 593,516/x
  3. Step 3: Cross multiply
    278,776x = 593,516 × 593,516
  4. Step 4: Simplify right side
    278,776x = 352,261,242,256
  5. Step 5: Solve for x
    x = 352,261,242,256/278,776
  6. Step 6: Final answer
    x = 1,263,599.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.