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Finding the Third Proportional to 414,887.06 and 626,146.88

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Solution

The third proportional to 414,887.06 and 626,146.88 is: 944,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,887.06 : 626,146.88 = 626,146.88 : x
  2. Step 2: Convert to fraction form
    414,887.06/626,146.88 = 626,146.88/x
  3. Step 3: Cross multiply
    414,887.06x = 626,146.88 × 626,146.88
  4. Step 4: Simplify right side
    414,887.06x = 392,059,909,072.27
  5. Step 5: Solve for x
    x = 392,059,909,072.27/414,887.06
  6. Step 6: Final answer
    x = 944,979.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.