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Finding the Third Proportional to 432,630 and 593,532

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Solution

The third proportional to 432,630 and 593,532 is: 814,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,630 : 593,532 = 593,532 : x
  2. Step 2: Convert to fraction form
    432,630/593,532 = 593,532/x
  3. Step 3: Cross multiply
    432,630x = 593,532 × 593,532
  4. Step 4: Simplify right side
    432,630x = 352,280,235,024
  5. Step 5: Solve for x
    x = 352,280,235,024/432,630
  6. Step 6: Final answer
    x = 814,276.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.