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Finding the Third Proportional to 485,152 and 737,520

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Solution

The third proportional to 485,152 and 737,520 is: 1,121,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,152 : 737,520 = 737,520 : x
  2. Step 2: Convert to fraction form
    485,152/737,520 = 737,520/x
  3. Step 3: Cross multiply
    485,152x = 737,520 × 737,520
  4. Step 4: Simplify right side
    485,152x = 543,935,750,400
  5. Step 5: Solve for x
    x = 543,935,750,400/485,152
  6. Step 6: Final answer
    x = 1,121,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.