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Finding the Third Proportional to 199,895 and 429,433

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Solution

The third proportional to 199,895 and 429,433 is: 922,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,895 : 429,433 = 429,433 : x
  2. Step 2: Convert to fraction form
    199,895/429,433 = 429,433/x
  3. Step 3: Cross multiply
    199,895x = 429,433 × 429,433
  4. Step 4: Simplify right side
    199,895x = 184,412,701,489
  5. Step 5: Solve for x
    x = 184,412,701,489/199,895
  6. Step 6: Final answer
    x = 922,547.85

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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.