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Finding the Third Proportional to 535,756 and 729,600

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Solution

The third proportional to 535,756 and 729,600 is: 993,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,756 : 729,600 = 729,600 : x
  2. Step 2: Convert to fraction form
    535,756/729,600 = 729,600/x
  3. Step 3: Cross multiply
    535,756x = 729,600 × 729,600
  4. Step 4: Simplify right side
    535,756x = 532,316,160,000
  5. Step 5: Solve for x
    x = 532,316,160,000/535,756
  6. Step 6: Final answer
    x = 993,579.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.