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Finding the Third Proportional to 262,365 and 405,141

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Solution

The third proportional to 262,365 and 405,141 is: 625,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,365 : 405,141 = 405,141 : x
  2. Step 2: Convert to fraction form
    262,365/405,141 = 405,141/x
  3. Step 3: Cross multiply
    262,365x = 405,141 × 405,141
  4. Step 4: Simplify right side
    262,365x = 164,139,229,881
  5. Step 5: Solve for x
    x = 164,139,229,881/262,365
  6. Step 6: Final answer
    x = 625,614.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.