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Finding the Third Proportional to 539,030 and 898,305

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Solution

The third proportional to 539,030 and 898,305 is: 1,497,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,030 : 898,305 = 898,305 : x
  2. Step 2: Convert to fraction form
    539,030/898,305 = 898,305/x
  3. Step 3: Cross multiply
    539,030x = 898,305 × 898,305
  4. Step 4: Simplify right side
    539,030x = 806,951,873,025
  5. Step 5: Solve for x
    x = 806,951,873,025/539,030
  6. Step 6: Final answer
    x = 1,497,044.46

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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.