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Finding the Third Proportional to 453,938 and 659,596

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Solution

The third proportional to 453,938 and 659,596 is: 958,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,938 : 659,596 = 659,596 : x
  2. Step 2: Convert to fraction form
    453,938/659,596 = 659,596/x
  3. Step 3: Cross multiply
    453,938x = 659,596 × 659,596
  4. Step 4: Simplify right side
    453,938x = 435,066,883,216
  5. Step 5: Solve for x
    x = 435,066,883,216/453,938
  6. Step 6: Final answer
    x = 958,427.99

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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.