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Finding the Third Proportional to 201,826 and 432,629

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Solution

The third proportional to 201,826 and 432,629 is: 927,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826 : 432,629 = 432,629 : x
  2. Step 2: Convert to fraction form
    201,826/432,629 = 432,629/x
  3. Step 3: Cross multiply
    201,826x = 432,629 × 432,629
  4. Step 4: Simplify right side
    201,826x = 187,167,851,641
  5. Step 5: Solve for x
    x = 187,167,851,641/201,826
  6. Step 6: Final answer
    x = 927,372.35

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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.