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Finding the Third Proportional to 266,106 and 401,913

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Solution

The third proportional to 266,106 and 401,913 is: 607,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,106 : 401,913 = 401,913 : x
  2. Step 2: Convert to fraction form
    266,106/401,913 = 401,913/x
  3. Step 3: Cross multiply
    266,106x = 401,913 × 401,913
  4. Step 4: Simplify right side
    266,106x = 161,534,059,569
  5. Step 5: Solve for x
    x = 161,534,059,569/266,106
  6. Step 6: Final answer
    x = 607,029.00

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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.