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Finding the Third Proportional to 202,431 and 432,886

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Solution

The third proportional to 202,431 and 432,886 is: 925,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,431 : 432,886 = 432,886 : x
  2. Step 2: Convert to fraction form
    202,431/432,886 = 432,886/x
  3. Step 3: Cross multiply
    202,431x = 432,886 × 432,886
  4. Step 4: Simplify right side
    202,431x = 187,390,288,996
  5. Step 5: Solve for x
    x = 187,390,288,996/202,431
  6. Step 6: Final answer
    x = 925,699.57

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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.