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Finding the Third Proportional to 484,284 and 664,770

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Solution

The third proportional to 484,284 and 664,770 is: 912,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,284 : 664,770 = 664,770 : x
  2. Step 2: Convert to fraction form
    484,284/664,770 = 664,770/x
  3. Step 3: Cross multiply
    484,284x = 664,770 × 664,770
  4. Step 4: Simplify right side
    484,284x = 441,919,152,900
  5. Step 5: Solve for x
    x = 441,919,152,900/484,284
  6. Step 6: Final answer
    x = 912,520.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.