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Finding the Third Proportional to 200,071 and 429,530

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Solution

The third proportional to 200,071 and 429,530 is: 922,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,071 : 429,530 = 429,530 : x
  2. Step 2: Convert to fraction form
    200,071/429,530 = 429,530/x
  3. Step 3: Cross multiply
    200,071x = 429,530 × 429,530
  4. Step 4: Simplify right side
    200,071x = 184,496,020,900
  5. Step 5: Solve for x
    x = 184,496,020,900/200,071
  6. Step 6: Final answer
    x = 922,152.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.