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Finding the Third Proportional to 435,594 and 659,957

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Solution

The third proportional to 435,594 and 659,957 is: 999,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,594 : 659,957 = 659,957 : x
  2. Step 2: Convert to fraction form
    435,594/659,957 = 659,957/x
  3. Step 3: Cross multiply
    435,594x = 659,957 × 659,957
  4. Step 4: Simplify right side
    435,594x = 435,543,241,849
  5. Step 5: Solve for x
    x = 435,543,241,849/435,594
  6. Step 6: Final answer
    x = 999,883.47

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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.