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Finding the Third Proportional to 231,649 and 507,584

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Solution

The third proportional to 231,649 and 507,584 is: 1,112,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,649 : 507,584 = 507,584 : x
  2. Step 2: Convert to fraction form
    231,649/507,584 = 507,584/x
  3. Step 3: Cross multiply
    231,649x = 507,584 × 507,584
  4. Step 4: Simplify right side
    231,649x = 257,641,517,056
  5. Step 5: Solve for x
    x = 257,641,517,056/231,649
  6. Step 6: Final answer
    x = 1,112,206.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.