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Finding the Third Proportional to 524,640 and 793,200

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Solution

The third proportional to 524,640 and 793,200 is: 1,199,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,640 : 793,200 = 793,200 : x
  2. Step 2: Convert to fraction form
    524,640/793,200 = 793,200/x
  3. Step 3: Cross multiply
    524,640x = 793,200 × 793,200
  4. Step 4: Simplify right side
    524,640x = 629,166,240,000
  5. Step 5: Solve for x
    x = 629,166,240,000/524,640
  6. Step 6: Final answer
    x = 1,199,234.22

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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.