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Finding the Third Proportional to 542,888 and 713,896

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Solution

The third proportional to 542,888 and 713,896 is: 938,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,888 : 713,896 = 713,896 : x
  2. Step 2: Convert to fraction form
    542,888/713,896 = 713,896/x
  3. Step 3: Cross multiply
    542,888x = 713,896 × 713,896
  4. Step 4: Simplify right side
    542,888x = 509,647,498,816
  5. Step 5: Solve for x
    x = 509,647,498,816/542,888
  6. Step 6: Final answer
    x = 938,770.98

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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.