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Finding the Third Proportional to 247,328.44 and 507,763.69

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Solution

The third proportional to 247,328.44 and 507,763.69 is: 1,042,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,328.44 : 507,763.69 = 507,763.69 : x
  2. Step 2: Convert to fraction form
    247,328.44/507,763.69 = 507,763.69/x
  3. Step 3: Cross multiply
    247,328.44x = 507,763.69 × 507,763.69
  4. Step 4: Simplify right side
    247,328.44x = 257,823,962,343.60
  5. Step 5: Solve for x
    x = 257,823,962,343.60/247,328.44
  6. Step 6: Final answer
    x = 1,042,435.58

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Why These Related Problems?

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