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Finding the Third Proportional to 266,434 and 401,411

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Solution

The third proportional to 266,434 and 401,411 is: 604,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,434 : 401,411 = 401,411 : x
  2. Step 2: Convert to fraction form
    266,434/401,411 = 401,411/x
  3. Step 3: Cross multiply
    266,434x = 401,411 × 401,411
  4. Step 4: Simplify right side
    266,434x = 161,130,790,921
  5. Step 5: Solve for x
    x = 161,130,790,921/266,434
  6. Step 6: Final answer
    x = 604,768.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.