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Finding the Third Proportional to 201,434 and 433,648

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Solution

The third proportional to 201,434 and 433,648 is: 933,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434 : 433,648 = 433,648 : x
  2. Step 2: Convert to fraction form
    201,434/433,648 = 433,648/x
  3. Step 3: Cross multiply
    201,434x = 433,648 × 433,648
  4. Step 4: Simplify right side
    201,434x = 188,050,587,904
  5. Step 5: Solve for x
    x = 188,050,587,904/201,434
  6. Step 6: Final answer
    x = 933,559.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.