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Finding the Third Proportional to 522,069.50 and 830,723

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Solution

The third proportional to 522,069.50 and 830,723 is: 1,321,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,069.50 : 830,723 = 830,723 : x
  2. Step 2: Convert to fraction form
    522,069.50/830,723 = 830,723/x
  3. Step 3: Cross multiply
    522,069.50x = 830,723 × 830,723
  4. Step 4: Simplify right side
    522,069.50x = 690,100,702,729
  5. Step 5: Solve for x
    x = 690,100,702,729/522,069.50
  6. Step 6: Final answer
    x = 1,321,856.00

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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.