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Finding the Third Proportional to 550,614 and 807,724.50

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Solution

The third proportional to 550,614 and 807,724.50 is: 1,184,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,614 : 807,724.50 = 807,724.50 : x
  2. Step 2: Convert to fraction form
    550,614/807,724.50 = 807,724.50/x
  3. Step 3: Cross multiply
    550,614x = 807,724.50 × 807,724.50
  4. Step 4: Simplify right side
    550,614x = 652,418,867,900.25
  5. Step 5: Solve for x
    x = 652,418,867,900.25/550,614
  6. Step 6: Final answer
    x = 1,184,893.35

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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.