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Finding the Third Proportional to 434,645 and 664,884

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Solution

The third proportional to 434,645 and 664,884 is: 1,017,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,645 : 664,884 = 664,884 : x
  2. Step 2: Convert to fraction form
    434,645/664,884 = 664,884/x
  3. Step 3: Cross multiply
    434,645x = 664,884 × 664,884
  4. Step 4: Simplify right side
    434,645x = 442,070,733,456
  5. Step 5: Solve for x
    x = 442,070,733,456/434,645
  6. Step 6: Final answer
    x = 1,017,084.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.