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Finding the Third Proportional to 289,136 and 626,538.50

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Solution

The third proportional to 289,136 and 626,538.50 is: 1,357,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,136 : 626,538.50 = 626,538.50 : x
  2. Step 2: Convert to fraction form
    289,136/626,538.50 = 626,538.50/x
  3. Step 3: Cross multiply
    289,136x = 626,538.50 × 626,538.50
  4. Step 4: Simplify right side
    289,136x = 392,550,491,982.25
  5. Step 5: Solve for x
    x = 392,550,491,982.25/289,136
  6. Step 6: Final answer
    x = 1,357,667.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.