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Finding the Third Proportional to 268,287.19 and 567,632.81

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Solution

The third proportional to 268,287.19 and 567,632.81 is: 1,200,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,287.19 : 567,632.81 = 567,632.81 : x
  2. Step 2: Convert to fraction form
    268,287.19/567,632.81 = 567,632.81/x
  3. Step 3: Cross multiply
    268,287.19x = 567,632.81 × 567,632.81
  4. Step 4: Simplify right side
    268,287.19x = 322,207,009,826.66
  5. Step 5: Solve for x
    x = 322,207,009,826.66/268,287.19
  6. Step 6: Final answer
    x = 1,200,978.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.