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Finding the Third Proportional to 535,852 and 729,742

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Solution

The third proportional to 535,852 and 729,742 is: 993,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,852 : 729,742 = 729,742 : x
  2. Step 2: Convert to fraction form
    535,852/729,742 = 729,742/x
  3. Step 3: Cross multiply
    535,852x = 729,742 × 729,742
  4. Step 4: Simplify right side
    535,852x = 532,523,386,564
  5. Step 5: Solve for x
    x = 532,523,386,564/535,852
  6. Step 6: Final answer
    x = 993,788.19

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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.