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Finding the Third Proportional to 266,409 and 570,723

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Solution

The third proportional to 266,409 and 570,723 is: 1,222,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,409 : 570,723 = 570,723 : x
  2. Step 2: Convert to fraction form
    266,409/570,723 = 570,723/x
  3. Step 3: Cross multiply
    266,409x = 570,723 × 570,723
  4. Step 4: Simplify right side
    266,409x = 325,724,742,729
  5. Step 5: Solve for x
    x = 325,724,742,729/266,409
  6. Step 6: Final answer
    x = 1,222,649.17

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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.