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Finding the Third Proportional to 201,705 and 429,906

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Solution

The third proportional to 201,705 and 429,906 is: 916,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705 : 429,906 = 429,906 : x
  2. Step 2: Convert to fraction form
    201,705/429,906 = 429,906/x
  3. Step 3: Cross multiply
    201,705x = 429,906 × 429,906
  4. Step 4: Simplify right side
    201,705x = 184,819,168,836
  5. Step 5: Solve for x
    x = 184,819,168,836/201,705
  6. Step 6: Final answer
    x = 916,284.52

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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.