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Finding the Third Proportional to 539,034 and 898,311

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Solution

The third proportional to 539,034 and 898,311 is: 1,497,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,034 : 898,311 = 898,311 : x
  2. Step 2: Convert to fraction form
    539,034/898,311 = 898,311/x
  3. Step 3: Cross multiply
    539,034x = 898,311 × 898,311
  4. Step 4: Simplify right side
    539,034x = 806,962,652,721
  5. Step 5: Solve for x
    x = 806,962,652,721/539,034
  6. Step 6: Final answer
    x = 1,497,053.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.