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Finding the Third Proportional to 516,237 and 725,679

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Solution

The third proportional to 516,237 and 725,679 is: 1,020,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,237 : 725,679 = 725,679 : x
  2. Step 2: Convert to fraction form
    516,237/725,679 = 725,679/x
  3. Step 3: Cross multiply
    516,237x = 725,679 × 725,679
  4. Step 4: Simplify right side
    516,237x = 526,610,011,041
  5. Step 5: Solve for x
    x = 526,610,011,041/516,237
  6. Step 6: Final answer
    x = 1,020,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.