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Finding the Third Proportional to 524,656 and 793,224

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Solution

The third proportional to 524,656 and 793,224 is: 1,199,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,656 : 793,224 = 793,224 : x
  2. Step 2: Convert to fraction form
    524,656/793,224 = 793,224/x
  3. Step 3: Cross multiply
    524,656x = 793,224 × 793,224
  4. Step 4: Simplify right side
    524,656x = 629,204,314,176
  5. Step 5: Solve for x
    x = 629,204,314,176/524,656
  6. Step 6: Final answer
    x = 1,199,270.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.