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Finding the Third Proportional to 366,003 and 754,605

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Solution

The third proportional to 366,003 and 754,605 is: 1,555,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,003 : 754,605 = 754,605 : x
  2. Step 2: Convert to fraction form
    366,003/754,605 = 754,605/x
  3. Step 3: Cross multiply
    366,003x = 754,605 × 754,605
  4. Step 4: Simplify right side
    366,003x = 569,428,706,025
  5. Step 5: Solve for x
    x = 569,428,706,025/366,003
  6. Step 6: Final answer
    x = 1,555,803.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.