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Finding the Third Proportional to 306,001.50 and 474,986.25

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Solution

The third proportional to 306,001.50 and 474,986.25 is: 737,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,001.50 : 474,986.25 = 474,986.25 : x
  2. Step 2: Convert to fraction form
    306,001.50/474,986.25 = 474,986.25/x
  3. Step 3: Cross multiply
    306,001.50x = 474,986.25 × 474,986.25
  4. Step 4: Simplify right side
    306,001.50x = 225,611,937,689.06
  5. Step 5: Solve for x
    x = 225,611,937,689.06/306,001.50
  6. Step 6: Final answer
    x = 737,290.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.