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Finding the Third Proportional to 689,949 and 950,076

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Solution

The third proportional to 689,949 and 950,076 is: 1,308,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,949 : 950,076 = 950,076 : x
  2. Step 2: Convert to fraction form
    689,949/950,076 = 950,076/x
  3. Step 3: Cross multiply
    689,949x = 950,076 × 950,076
  4. Step 4: Simplify right side
    689,949x = 902,644,405,776
  5. Step 5: Solve for x
    x = 902,644,405,776/689,949
  6. Step 6: Final answer
    x = 1,308,277.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.