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Finding the Third Proportional to 475,808 and 737,616

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Solution

The third proportional to 475,808 and 737,616 is: 1,143,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,808 : 737,616 = 737,616 : x
  2. Step 2: Convert to fraction form
    475,808/737,616 = 737,616/x
  3. Step 3: Cross multiply
    475,808x = 737,616 × 737,616
  4. Step 4: Simplify right side
    475,808x = 544,077,363,456
  5. Step 5: Solve for x
    x = 544,077,363,456/475,808
  6. Step 6: Final answer
    x = 1,143,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.