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Finding the Third Proportional to 262,984 and 427,264

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Solution

The third proportional to 262,984 and 427,264 is: 694,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,984 : 427,264 = 427,264 : x
  2. Step 2: Convert to fraction form
    262,984/427,264 = 427,264/x
  3. Step 3: Cross multiply
    262,984x = 427,264 × 427,264
  4. Step 4: Simplify right side
    262,984x = 182,554,525,696
  5. Step 5: Solve for x
    x = 182,554,525,696/262,984
  6. Step 6: Final answer
    x = 694,165.90

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.