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Finding the Third Proportional to 453,924 and 659,502

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Solution

The third proportional to 453,924 and 659,502 is: 958,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,924 : 659,502 = 659,502 : x
  2. Step 2: Convert to fraction form
    453,924/659,502 = 659,502/x
  3. Step 3: Cross multiply
    453,924x = 659,502 × 659,502
  4. Step 4: Simplify right side
    453,924x = 434,942,888,004
  5. Step 5: Solve for x
    x = 434,942,888,004/453,924
  6. Step 6: Final answer
    x = 958,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.