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Finding the Third Proportional to 434,873 and 691,837.50

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Solution

The third proportional to 434,873 and 691,837.50 is: 1,100,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,873 : 691,837.50 = 691,837.50 : x
  2. Step 2: Convert to fraction form
    434,873/691,837.50 = 691,837.50/x
  3. Step 3: Cross multiply
    434,873x = 691,837.50 × 691,837.50
  4. Step 4: Simplify right side
    434,873x = 478,639,126,406.25
  5. Step 5: Solve for x
    x = 478,639,126,406.25/434,873
  6. Step 6: Final answer
    x = 1,100,641.17

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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.