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Finding the Third Proportional to 266,436 and 570,861

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Solution

The third proportional to 266,436 and 570,861 is: 1,223,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,436 : 570,861 = 570,861 : x
  2. Step 2: Convert to fraction form
    266,436/570,861 = 570,861/x
  3. Step 3: Cross multiply
    266,436x = 570,861 × 570,861
  4. Step 4: Simplify right side
    266,436x = 325,882,281,321
  5. Step 5: Solve for x
    x = 325,882,281,321/266,436
  6. Step 6: Final answer
    x = 1,223,116.55

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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.