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Finding the Third Proportional to 434,607 and 691,546.50

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Solution

The third proportional to 434,607 and 691,546.50 is: 1,100,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,607 : 691,546.50 = 691,546.50 : x
  2. Step 2: Convert to fraction form
    434,607/691,546.50 = 691,546.50/x
  3. Step 3: Cross multiply
    434,607x = 691,546.50 × 691,546.50
  4. Step 4: Simplify right side
    434,607x = 478,236,561,662.25
  5. Step 5: Solve for x
    x = 478,236,561,662.25/434,607
  6. Step 6: Final answer
    x = 1,100,388.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.