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Finding the Third Proportional to 334,136.63 and 482,769.75

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Solution

The third proportional to 334,136.63 and 482,769.75 is: 697,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,136.63 : 482,769.75 = 482,769.75 : x
  2. Step 2: Convert to fraction form
    334,136.63/482,769.75 = 482,769.75/x
  3. Step 3: Cross multiply
    334,136.63x = 482,769.75 × 482,769.75
  4. Step 4: Simplify right side
    334,136.63x = 233,066,631,515.06
  5. Step 5: Solve for x
    x = 233,066,631,515.06/334,136.63
  6. Step 6: Final answer
    x = 697,518.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.