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Finding the Third Proportional to 484,348.50 and 664,881

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Solution

The third proportional to 484,348.50 and 664,881 is: 912,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,348.50 : 664,881 = 664,881 : x
  2. Step 2: Convert to fraction form
    484,348.50/664,881 = 664,881/x
  3. Step 3: Cross multiply
    484,348.50x = 664,881 × 664,881
  4. Step 4: Simplify right side
    484,348.50x = 442,066,744,161
  5. Step 5: Solve for x
    x = 442,066,744,161/484,348.50
  6. Step 6: Final answer
    x = 912,703.86

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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.