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Finding the Third Proportional to 303,700.50 and 471,468

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Solution

The third proportional to 303,700.50 and 471,468 is: 731,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,700.50 : 471,468 = 471,468 : x
  2. Step 2: Convert to fraction form
    303,700.50/471,468 = 471,468/x
  3. Step 3: Cross multiply
    303,700.50x = 471,468 × 471,468
  4. Step 4: Simplify right side
    303,700.50x = 222,282,075,024
  5. Step 5: Solve for x
    x = 222,282,075,024/303,700.50
  6. Step 6: Final answer
    x = 731,912.11

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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.