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Finding the Third Proportional to 200,949 and 429,535

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Solution

The third proportional to 200,949 and 429,535 is: 918,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,949 : 429,535 = 429,535 : x
  2. Step 2: Convert to fraction form
    200,949/429,535 = 429,535/x
  3. Step 3: Cross multiply
    200,949x = 429,535 × 429,535
  4. Step 4: Simplify right side
    200,949x = 184,500,316,225
  5. Step 5: Solve for x
    x = 184,500,316,225/200,949
  6. Step 6: Final answer
    x = 918,144.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.