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Finding the Third Proportional to 266,457 and 570,900

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Solution

The third proportional to 266,457 and 570,900 is: 1,223,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,457 : 570,900 = 570,900 : x
  2. Step 2: Convert to fraction form
    266,457/570,900 = 570,900/x
  3. Step 3: Cross multiply
    266,457x = 570,900 × 570,900
  4. Step 4: Simplify right side
    266,457x = 325,926,810,000
  5. Step 5: Solve for x
    x = 325,926,810,000/266,457
  6. Step 6: Final answer
    x = 1,223,187.27

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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.