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Finding the Third Proportional to 435,441 and 659,725

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Solution

The third proportional to 435,441 and 659,725 is: 999,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,441 : 659,725 = 659,725 : x
  2. Step 2: Convert to fraction form
    435,441/659,725 = 659,725/x
  3. Step 3: Cross multiply
    435,441x = 659,725 × 659,725
  4. Step 4: Simplify right side
    435,441x = 435,237,075,625
  5. Step 5: Solve for x
    x = 435,237,075,625/435,441
  6. Step 6: Final answer
    x = 999,531.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.