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Finding the Third Proportional to 486,072 and 735,588

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Solution

The third proportional to 486,072 and 735,588 is: 1,113,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,072 : 735,588 = 735,588 : x
  2. Step 2: Convert to fraction form
    486,072/735,588 = 735,588/x
  3. Step 3: Cross multiply
    486,072x = 735,588 × 735,588
  4. Step 4: Simplify right side
    486,072x = 541,089,705,744
  5. Step 5: Solve for x
    x = 541,089,705,744/486,072
  6. Step 6: Final answer
    x = 1,113,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.