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Finding the Third Proportional to 726,525 and 997,323

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Solution

The third proportional to 726,525 and 997,323 is: 1,369,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,525 : 997,323 = 997,323 : x
  2. Step 2: Convert to fraction form
    726,525/997,323 = 997,323/x
  3. Step 3: Cross multiply
    726,525x = 997,323 × 997,323
  4. Step 4: Simplify right side
    726,525x = 994,653,166,329
  5. Step 5: Solve for x
    x = 994,653,166,329/726,525
  6. Step 6: Final answer
    x = 1,369,055.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.