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Finding the Third Proportional to 299,466 and 649,294.50

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Solution

The third proportional to 299,466 and 649,294.50 is: 1,407,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,466 : 649,294.50 = 649,294.50 : x
  2. Step 2: Convert to fraction form
    299,466/649,294.50 = 649,294.50/x
  3. Step 3: Cross multiply
    299,466x = 649,294.50 × 649,294.50
  4. Step 4: Simplify right side
    299,466x = 421,583,347,730.25
  5. Step 5: Solve for x
    x = 421,583,347,730.25/299,466
  6. Step 6: Final answer
    x = 1,407,783.68

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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.