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Finding the Third Proportional to 357,702 and 738,444

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Solution

The third proportional to 357,702 and 738,444 is: 1,524,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,702 : 738,444 = 738,444 : x
  2. Step 2: Convert to fraction form
    357,702/738,444 = 738,444/x
  3. Step 3: Cross multiply
    357,702x = 738,444 × 738,444
  4. Step 4: Simplify right side
    357,702x = 545,299,541,136
  5. Step 5: Solve for x
    x = 545,299,541,136/357,702
  6. Step 6: Final answer
    x = 1,524,452.03

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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.