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Finding the Third Proportional to 266,998 and 583,229

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Solution

The third proportional to 266,998 and 583,229 is: 1,274,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,998 : 583,229 = 583,229 : x
  2. Step 2: Convert to fraction form
    266,998/583,229 = 583,229/x
  3. Step 3: Cross multiply
    266,998x = 583,229 × 583,229
  4. Step 4: Simplify right side
    266,998x = 340,156,066,441
  5. Step 5: Solve for x
    x = 340,156,066,441/266,998
  6. Step 6: Final answer
    x = 1,274,002.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.