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Finding the Third Proportional to 201,284 and 430,754

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Solution

The third proportional to 201,284 and 430,754 is: 921,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284 : 430,754 = 430,754 : x
  2. Step 2: Convert to fraction form
    201,284/430,754 = 430,754/x
  3. Step 3: Cross multiply
    201,284x = 430,754 × 430,754
  4. Step 4: Simplify right side
    201,284x = 185,549,008,516
  5. Step 5: Solve for x
    x = 185,549,008,516/201,284
  6. Step 6: Final answer
    x = 921,826.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.