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Finding the Third Proportional to 542,055 and 793,642.50

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Solution

The third proportional to 542,055 and 793,642.50 is: 1,162,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,055 : 793,642.50 = 793,642.50 : x
  2. Step 2: Convert to fraction form
    542,055/793,642.50 = 793,642.50/x
  3. Step 3: Cross multiply
    542,055x = 793,642.50 × 793,642.50
  4. Step 4: Simplify right side
    542,055x = 629,868,417,806.25
  5. Step 5: Solve for x
    x = 629,868,417,806.25/542,055
  6. Step 6: Final answer
    x = 1,162,000.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.