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Finding the Third Proportional to 201,714 and 429,924

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Solution

The third proportional to 201,714 and 429,924 is: 916,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714 : 429,924 = 429,924 : x
  2. Step 2: Convert to fraction form
    201,714/429,924 = 429,924/x
  3. Step 3: Cross multiply
    201,714x = 429,924 × 429,924
  4. Step 4: Simplify right side
    201,714x = 184,834,645,776
  5. Step 5: Solve for x
    x = 184,834,645,776/201,714
  6. Step 6: Final answer
    x = 916,320.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.