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Finding the Third Proportional to 266,066 and 569,028

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Solution

The third proportional to 266,066 and 569,028 is: 1,216,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,066 : 569,028 = 569,028 : x
  2. Step 2: Convert to fraction form
    266,066/569,028 = 569,028/x
  3. Step 3: Cross multiply
    266,066x = 569,028 × 569,028
  4. Step 4: Simplify right side
    266,066x = 323,792,864,784
  5. Step 5: Solve for x
    x = 323,792,864,784/266,066
  6. Step 6: Final answer
    x = 1,216,964.46

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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.