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Finding the Third Proportional to 406,962 and 598,677

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Solution

The third proportional to 406,962 and 598,677 is: 880,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,962 : 598,677 = 598,677 : x
  2. Step 2: Convert to fraction form
    406,962/598,677 = 598,677/x
  3. Step 3: Cross multiply
    406,962x = 598,677 × 598,677
  4. Step 4: Simplify right side
    406,962x = 358,414,150,329
  5. Step 5: Solve for x
    x = 358,414,150,329/406,962
  6. Step 6: Final answer
    x = 880,706.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.