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Finding the Third Proportional to 201,710 and 429,916

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Solution

The third proportional to 201,710 and 429,916 is: 916,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710 : 429,916 = 429,916 : x
  2. Step 2: Convert to fraction form
    201,710/429,916 = 429,916/x
  3. Step 3: Cross multiply
    201,710x = 429,916 × 429,916
  4. Step 4: Simplify right side
    201,710x = 184,827,767,056
  5. Step 5: Solve for x
    x = 184,827,767,056/201,710
  6. Step 6: Final answer
    x = 916,304.43

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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.