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Finding the Third Proportional to 711,747 and 837,229.50

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Solution

The third proportional to 711,747 and 837,229.50 is: 984,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,747 : 837,229.50 = 837,229.50 : x
  2. Step 2: Convert to fraction form
    711,747/837,229.50 = 837,229.50/x
  3. Step 3: Cross multiply
    711,747x = 837,229.50 × 837,229.50
  4. Step 4: Simplify right side
    711,747x = 700,953,235,670.25
  5. Step 5: Solve for x
    x = 700,953,235,670.25/711,747
  6. Step 6: Final answer
    x = 984,834.83

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.