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Finding the Third Proportional to 202,426 and 432,879

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Solution

The third proportional to 202,426 and 432,879 is: 925,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,426 : 432,879 = 432,879 : x
  2. Step 2: Convert to fraction form
    202,426/432,879 = 432,879/x
  3. Step 3: Cross multiply
    202,426x = 432,879 × 432,879
  4. Step 4: Simplify right side
    202,426x = 187,384,228,641
  5. Step 5: Solve for x
    x = 187,384,228,641/202,426
  6. Step 6: Final answer
    x = 925,692.49

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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.