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Finding the Third Proportional to 726,534 and 997,334

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Solution

The third proportional to 726,534 and 997,334 is: 1,369,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,534 : 997,334 = 997,334 : x
  2. Step 2: Convert to fraction form
    726,534/997,334 = 997,334/x
  3. Step 3: Cross multiply
    726,534x = 997,334 × 997,334
  4. Step 4: Simplify right side
    726,534x = 994,675,107,556
  5. Step 5: Solve for x
    x = 994,675,107,556/726,534
  6. Step 6: Final answer
    x = 1,369,068.90

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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.