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Finding the Third Proportional to 465,493.50 and 711,776.25

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Solution

The third proportional to 465,493.50 and 711,776.25 is: 1,088,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,493.50 : 711,776.25 = 711,776.25 : x
  2. Step 2: Convert to fraction form
    465,493.50/711,776.25 = 711,776.25/x
  3. Step 3: Cross multiply
    465,493.50x = 711,776.25 × 711,776.25
  4. Step 4: Simplify right side
    465,493.50x = 506,625,430,064.06
  5. Step 5: Solve for x
    x = 506,625,430,064.06/465,493.50
  6. Step 6: Final answer
    x = 1,088,361.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.