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Finding the Third Proportional to 665,769 and 973,735.50

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Solution

The third proportional to 665,769 and 973,735.50 is: 1,424,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,769 : 973,735.50 = 973,735.50 : x
  2. Step 2: Convert to fraction form
    665,769/973,735.50 = 973,735.50/x
  3. Step 3: Cross multiply
    665,769x = 973,735.50 × 973,735.50
  4. Step 4: Simplify right side
    665,769x = 948,160,823,960.25
  5. Step 5: Solve for x
    x = 948,160,823,960.25/665,769
  6. Step 6: Final answer
    x = 1,424,158.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.