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Finding the Third Proportional to 506,983.22 and 789,574.08

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Solution

The third proportional to 506,983.22 and 789,574.08 is: 1,229,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,983.22 : 789,574.08 = 789,574.08 : x
  2. Step 2: Convert to fraction form
    506,983.22/789,574.08 = 789,574.08/x
  3. Step 3: Cross multiply
    506,983.22x = 789,574.08 × 789,574.08
  4. Step 4: Simplify right side
    506,983.22x = 623,427,224,846.94
  5. Step 5: Solve for x
    x = 623,427,224,846.94/506,983.22
  6. Step 6: Final answer
    x = 1,229,680.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.