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Finding the Third Proportional to 506,619 and 783,596.50

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Solution

The third proportional to 506,619 and 783,596.50 is: 1,212,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,619 : 783,596.50 = 783,596.50 : x
  2. Step 2: Convert to fraction form
    506,619/783,596.50 = 783,596.50/x
  3. Step 3: Cross multiply
    506,619x = 783,596.50 × 783,596.50
  4. Step 4: Simplify right side
    506,619x = 614,023,474,812.25
  5. Step 5: Solve for x
    x = 614,023,474,812.25/506,619
  6. Step 6: Final answer
    x = 1,212,002.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.