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Finding the Third Proportional to 459,571 and 661,924

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Solution

The third proportional to 459,571 and 661,924 is: 953,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,571 : 661,924 = 661,924 : x
  2. Step 2: Convert to fraction form
    459,571/661,924 = 661,924/x
  3. Step 3: Cross multiply
    459,571x = 661,924 × 661,924
  4. Step 4: Simplify right side
    459,571x = 438,143,381,776
  5. Step 5: Solve for x
    x = 438,143,381,776/459,571
  6. Step 6: Final answer
    x = 953,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.