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Finding the Third Proportional to 465,176 and 737,796

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Solution

The third proportional to 465,176 and 737,796 is: 1,170,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,176 : 737,796 = 737,796 : x
  2. Step 2: Convert to fraction form
    465,176/737,796 = 737,796/x
  3. Step 3: Cross multiply
    465,176x = 737,796 × 737,796
  4. Step 4: Simplify right side
    465,176x = 544,342,937,616
  5. Step 5: Solve for x
    x = 544,342,937,616/465,176
  6. Step 6: Final answer
    x = 1,170,187.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.