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Finding the Third Proportional to 726,513 and 997,307.25

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Solution

The third proportional to 726,513 and 997,307.25 is: 1,369,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,513 : 997,307.25 = 997,307.25 : x
  2. Step 2: Convert to fraction form
    726,513/997,307.25 = 997,307.25/x
  3. Step 3: Cross multiply
    726,513x = 997,307.25 × 997,307.25
  4. Step 4: Simplify right side
    726,513x = 994,621,750,902.56
  5. Step 5: Solve for x
    x = 994,621,750,902.56/726,513
  6. Step 6: Final answer
    x = 1,369,035.04

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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.