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Finding the Third Proportional to 535,092 and 783,439.50

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Solution

The third proportional to 535,092 and 783,439.50 is: 1,147,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,092 : 783,439.50 = 783,439.50 : x
  2. Step 2: Convert to fraction form
    535,092/783,439.50 = 783,439.50/x
  3. Step 3: Cross multiply
    535,092x = 783,439.50 × 783,439.50
  4. Step 4: Simplify right side
    535,092x = 613,777,450,160.25
  5. Step 5: Solve for x
    x = 613,777,450,160.25/535,092
  6. Step 6: Final answer
    x = 1,147,050.32

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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.