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Finding the Third Proportional to 535,289 and 726,633

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Solution

The third proportional to 535,289 and 726,633 is: 986,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,289 : 726,633 = 726,633 : x
  2. Step 2: Convert to fraction form
    535,289/726,633 = 726,633/x
  3. Step 3: Cross multiply
    535,289x = 726,633 × 726,633
  4. Step 4: Simplify right side
    535,289x = 527,995,516,689
  5. Step 5: Solve for x
    x = 527,995,516,689/535,289
  6. Step 6: Final answer
    x = 986,374.68

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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.