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Finding the Third Proportional to 201,716 and 429,928

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Solution

The third proportional to 201,716 and 429,928 is: 916,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716 : 429,928 = 429,928 : x
  2. Step 2: Convert to fraction form
    201,716/429,928 = 429,928/x
  3. Step 3: Cross multiply
    201,716x = 429,928 × 429,928
  4. Step 4: Simplify right side
    201,716x = 184,838,085,184
  5. Step 5: Solve for x
    x = 184,838,085,184/201,716
  6. Step 6: Final answer
    x = 916,328.33

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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.