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Finding the Third Proportional to 542,898 and 713,907

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Solution

The third proportional to 542,898 and 713,907 is: 938,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,898 : 713,907 = 713,907 : x
  2. Step 2: Convert to fraction form
    542,898/713,907 = 713,907/x
  3. Step 3: Cross multiply
    542,898x = 713,907 × 713,907
  4. Step 4: Simplify right side
    542,898x = 509,663,204,649
  5. Step 5: Solve for x
    x = 509,663,204,649/542,898
  6. Step 6: Final answer
    x = 938,782.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.