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Finding the Third Proportional to 535,788 and 729,639

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Solution

The third proportional to 535,788 and 729,639 is: 993,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,788 : 729,639 = 729,639 : x
  2. Step 2: Convert to fraction form
    535,788/729,639 = 729,639/x
  3. Step 3: Cross multiply
    535,788x = 729,639 × 729,639
  4. Step 4: Simplify right side
    535,788x = 532,373,070,321
  5. Step 5: Solve for x
    x = 532,373,070,321/535,788
  6. Step 6: Final answer
    x = 993,626.34

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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.