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Finding the Third Proportional to 266,014 and 583,719

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Solution

The third proportional to 266,014 and 583,719 is: 1,280,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,014 : 583,719 = 583,719 : x
  2. Step 2: Convert to fraction form
    266,014/583,719 = 583,719/x
  3. Step 3: Cross multiply
    266,014x = 583,719 × 583,719
  4. Step 4: Simplify right side
    266,014x = 340,727,870,961
  5. Step 5: Solve for x
    x = 340,727,870,961/266,014
  6. Step 6: Final answer
    x = 1,280,864.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.