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Finding the Third Proportional to 247,267.69 and 507,642.19

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Solution

The third proportional to 247,267.69 and 507,642.19 is: 1,042,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,267.69 : 507,642.19 = 507,642.19 : x
  2. Step 2: Convert to fraction form
    247,267.69/507,642.19 = 507,642.19/x
  3. Step 3: Cross multiply
    247,267.69x = 507,642.19 × 507,642.19
  4. Step 4: Simplify right side
    247,267.69x = 257,700,590,529.79
  5. Step 5: Solve for x
    x = 257,700,590,529.79/247,267.69
  6. Step 6: Final answer
    x = 1,042,192.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.