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Finding the Third Proportional to 474,020 and 728,622

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Solution

The third proportional to 474,020 and 728,622 is: 1,119,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,020 : 728,622 = 728,622 : x
  2. Step 2: Convert to fraction form
    474,020/728,622 = 728,622/x
  3. Step 3: Cross multiply
    474,020x = 728,622 × 728,622
  4. Step 4: Simplify right side
    474,020x = 530,890,018,884
  5. Step 5: Solve for x
    x = 530,890,018,884/474,020
  6. Step 6: Final answer
    x = 1,119,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.