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Finding the Third Proportional to 266,052 and 399,066

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Solution

The third proportional to 266,052 and 399,066 is: 598,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,052 : 399,066 = 399,066 : x
  2. Step 2: Convert to fraction form
    266,052/399,066 = 399,066/x
  3. Step 3: Cross multiply
    266,052x = 399,066 × 399,066
  4. Step 4: Simplify right side
    266,052x = 159,253,672,356
  5. Step 5: Solve for x
    x = 159,253,672,356/266,052
  6. Step 6: Final answer
    x = 598,581.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.