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Finding the Third Proportional to 593,353.50 and 1,272,516

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Solution

The third proportional to 593,353.50 and 1,272,516 is: 2,729,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,353.50 : 1,272,516 = 1,272,516 : x
  2. Step 2: Convert to fraction form
    593,353.50/1,272,516 = 1,272,516/x
  3. Step 3: Cross multiply
    593,353.50x = 1,272,516 × 1,272,516
  4. Step 4: Simplify right side
    593,353.50x = 1,619,296,970,256
  5. Step 5: Solve for x
    x = 1,619,296,970,256/593,353.50
  6. Step 6: Final answer
    x = 2,729,059.44

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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.