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Finding the Third Proportional to 300,644 and 475,702

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Solution

The third proportional to 300,644 and 475,702 is: 752,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,644 : 475,702 = 475,702 : x
  2. Step 2: Convert to fraction form
    300,644/475,702 = 475,702/x
  3. Step 3: Cross multiply
    300,644x = 475,702 × 475,702
  4. Step 4: Simplify right side
    300,644x = 226,292,392,804
  5. Step 5: Solve for x
    x = 226,292,392,804/300,644
  6. Step 6: Final answer
    x = 752,692.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.