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Finding the Third Proportional to 567,208 and 850,814

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Solution

The third proportional to 567,208 and 850,814 is: 1,276,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,208 : 850,814 = 850,814 : x
  2. Step 2: Convert to fraction form
    567,208/850,814 = 850,814/x
  3. Step 3: Cross multiply
    567,208x = 850,814 × 850,814
  4. Step 4: Simplify right side
    567,208x = 723,884,462,596
  5. Step 5: Solve for x
    x = 723,884,462,596/567,208
  6. Step 6: Final answer
    x = 1,276,224.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.