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Finding the Third Proportional to 612,723 and 897,724.50

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Solution

The third proportional to 612,723 and 897,724.50 is: 1,315,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,723 : 897,724.50 = 897,724.50 : x
  2. Step 2: Convert to fraction form
    612,723/897,724.50 = 897,724.50/x
  3. Step 3: Cross multiply
    612,723x = 897,724.50 × 897,724.50
  4. Step 4: Simplify right side
    612,723x = 805,909,277,900.25
  5. Step 5: Solve for x
    x = 805,909,277,900.25/612,723
  6. Step 6: Final answer
    x = 1,315,291.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.