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Finding the Third Proportional to 486,166.50 and 735,957

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Solution

The third proportional to 486,166.50 and 735,957 is: 1,114,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,166.50 : 735,957 = 735,957 : x
  2. Step 2: Convert to fraction form
    486,166.50/735,957 = 735,957/x
  3. Step 3: Cross multiply
    486,166.50x = 735,957 × 735,957
  4. Step 4: Simplify right side
    486,166.50x = 541,632,705,849
  5. Step 5: Solve for x
    x = 541,632,705,849/486,166.50
  6. Step 6: Final answer
    x = 1,114,088.91

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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.