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Finding the Third Proportional to 542,868.75 and 713,866.50

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Solution

The third proportional to 542,868.75 and 713,866.50 is: 938,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,868.75 : 713,866.50 = 713,866.50 : x
  2. Step 2: Convert to fraction form
    542,868.75/713,866.50 = 713,866.50/x
  3. Step 3: Cross multiply
    542,868.75x = 713,866.50 × 713,866.50
  4. Step 4: Simplify right side
    542,868.75x = 509,605,379,822.25
  5. Step 5: Solve for x
    x = 509,605,379,822.25/542,868.75
  6. Step 6: Final answer
    x = 938,726.68

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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.