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Finding the Third Proportional to 689,355 and 992,883.75

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Solution

The third proportional to 689,355 and 992,883.75 is: 1,430,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,355 : 992,883.75 = 992,883.75 : x
  2. Step 2: Convert to fraction form
    689,355/992,883.75 = 992,883.75/x
  3. Step 3: Cross multiply
    689,355x = 992,883.75 × 992,883.75
  4. Step 4: Simplify right side
    689,355x = 985,818,141,014.06
  5. Step 5: Solve for x
    x = 985,818,141,014.06/689,355
  6. Step 6: Final answer
    x = 1,430,058.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.