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Finding the Third Proportional to 266,407 and 570,814

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Solution

The third proportional to 266,407 and 570,814 is: 1,223,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,407 : 570,814 = 570,814 : x
  2. Step 2: Convert to fraction form
    266,407/570,814 = 570,814/x
  3. Step 3: Cross multiply
    266,407x = 570,814 × 570,814
  4. Step 4: Simplify right side
    266,407x = 325,828,622,596
  5. Step 5: Solve for x
    x = 325,828,622,596/266,407
  6. Step 6: Final answer
    x = 1,223,048.28

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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.