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Finding the Third Proportional to 266,423 and 570,634

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Solution

The third proportional to 266,423 and 570,634 is: 1,222,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,423 : 570,634 = 570,634 : x
  2. Step 2: Convert to fraction form
    266,423/570,634 = 570,634/x
  3. Step 3: Cross multiply
    266,423x = 570,634 × 570,634
  4. Step 4: Simplify right side
    266,423x = 325,623,161,956
  5. Step 5: Solve for x
    x = 325,623,161,956/266,423
  6. Step 6: Final answer
    x = 1,222,203.65

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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.