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Finding the Third Proportional to 493,810 and 737,461

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Solution

The third proportional to 493,810 and 737,461 is: 1,101,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,810 : 737,461 = 737,461 : x
  2. Step 2: Convert to fraction form
    493,810/737,461 = 737,461/x
  3. Step 3: Cross multiply
    493,810x = 737,461 × 737,461
  4. Step 4: Simplify right side
    493,810x = 543,848,726,521
  5. Step 5: Solve for x
    x = 543,848,726,521/493,810
  6. Step 6: Final answer
    x = 1,101,331.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.