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Finding the Third Proportional to 262,602 and 407,392

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Solution

The third proportional to 262,602 and 407,392 is: 632,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,602 : 407,392 = 407,392 : x
  2. Step 2: Convert to fraction form
    262,602/407,392 = 407,392/x
  3. Step 3: Cross multiply
    262,602x = 407,392 × 407,392
  4. Step 4: Simplify right side
    262,602x = 165,968,241,664
  5. Step 5: Solve for x
    x = 165,968,241,664/262,602
  6. Step 6: Final answer
    x = 632,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.