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Finding the Third Proportional to 290,946 and 451,549.50

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Solution

The third proportional to 290,946 and 451,549.50 is: 700,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,946 : 451,549.50 = 451,549.50 : x
  2. Step 2: Convert to fraction form
    290,946/451,549.50 = 451,549.50/x
  3. Step 3: Cross multiply
    290,946x = 451,549.50 × 451,549.50
  4. Step 4: Simplify right side
    290,946x = 203,896,950,950.25
  5. Step 5: Solve for x
    x = 203,896,950,950.25/290,946
  6. Step 6: Final answer
    x = 700,806.85

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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.