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Finding the Third Proportional to 339,052 and 725,292

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Solution

The third proportional to 339,052 and 725,292 is: 1,551,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,052 : 725,292 = 725,292 : x
  2. Step 2: Convert to fraction form
    339,052/725,292 = 725,292/x
  3. Step 3: Cross multiply
    339,052x = 725,292 × 725,292
  4. Step 4: Simplify right side
    339,052x = 526,048,485,264
  5. Step 5: Solve for x
    x = 526,048,485,264/339,052
  6. Step 6: Final answer
    x = 1,551,527.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.