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Finding the Third Proportional to 535,310 and 726,660

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Solution

The third proportional to 535,310 and 726,660 is: 986,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,310 : 726,660 = 726,660 : x
  2. Step 2: Convert to fraction form
    535,310/726,660 = 726,660/x
  3. Step 3: Cross multiply
    535,310x = 726,660 × 726,660
  4. Step 4: Simplify right side
    535,310x = 528,034,755,600
  5. Step 5: Solve for x
    x = 528,034,755,600/535,310
  6. Step 6: Final answer
    x = 986,409.29

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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.