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Finding the Third Proportional to 262,164 and 402,984

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Solution

The third proportional to 262,164 and 402,984 is: 619,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,164 : 402,984 = 402,984 : x
  2. Step 2: Convert to fraction form
    262,164/402,984 = 402,984/x
  3. Step 3: Cross multiply
    262,164x = 402,984 × 402,984
  4. Step 4: Simplify right side
    262,164x = 162,396,104,256
  5. Step 5: Solve for x
    x = 162,396,104,256/262,164
  6. Step 6: Final answer
    x = 619,444.71

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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.