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Finding the Third Proportional to 726,527 and 997,326

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Solution

The third proportional to 726,527 and 997,326 is: 1,369,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,527 : 997,326 = 997,326 : x
  2. Step 2: Convert to fraction form
    726,527/997,326 = 997,326/x
  3. Step 3: Cross multiply
    726,527x = 997,326 × 997,326
  4. Step 4: Simplify right side
    726,527x = 994,659,150,276
  5. Step 5: Solve for x
    x = 994,659,150,276/726,527
  6. Step 6: Final answer
    x = 1,369,060.13

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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.