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Finding the Third Proportional to 201,047 and 442,074

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Solution

The third proportional to 201,047 and 442,074 is: 972,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,047 : 442,074 = 442,074 : x
  2. Step 2: Convert to fraction form
    201,047/442,074 = 442,074/x
  3. Step 3: Cross multiply
    201,047x = 442,074 × 442,074
  4. Step 4: Simplify right side
    201,047x = 195,429,421,476
  5. Step 5: Solve for x
    x = 195,429,421,476/201,047
  6. Step 6: Final answer
    x = 972,058.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.