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Finding the Third Proportional to 339,541 and 719,557

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Solution

The third proportional to 339,541 and 719,557 is: 1,524,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,541 : 719,557 = 719,557 : x
  2. Step 2: Convert to fraction form
    339,541/719,557 = 719,557/x
  3. Step 3: Cross multiply
    339,541x = 719,557 × 719,557
  4. Step 4: Simplify right side
    339,541x = 517,762,276,249
  5. Step 5: Solve for x
    x = 517,762,276,249/339,541
  6. Step 6: Final answer
    x = 1,524,888.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.