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Finding the Third Proportional to 202,429 and 432,889

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Solution

The third proportional to 202,429 and 432,889 is: 925,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429 : 432,889 = 432,889 : x
  2. Step 2: Convert to fraction form
    202,429/432,889 = 432,889/x
  3. Step 3: Cross multiply
    202,429x = 432,889 × 432,889
  4. Step 4: Simplify right side
    202,429x = 187,392,886,321
  5. Step 5: Solve for x
    x = 187,392,886,321/202,429
  6. Step 6: Final answer
    x = 925,721.54

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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.