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Finding the Third Proportional to 303,631 and 653,971.50

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Solution

The third proportional to 303,631 and 653,971.50 is: 1,408,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,631 : 653,971.50 = 653,971.50 : x
  2. Step 2: Convert to fraction form
    303,631/653,971.50 = 653,971.50/x
  3. Step 3: Cross multiply
    303,631x = 653,971.50 × 653,971.50
  4. Step 4: Simplify right side
    303,631x = 427,678,722,812.25
  5. Step 5: Solve for x
    x = 427,678,722,812.25/303,631
  6. Step 6: Final answer
    x = 1,408,547.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.