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Finding the Third Proportional to 299,464 and 649,290.50

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Solution

The third proportional to 299,464 and 649,290.50 is: 1,407,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,464 : 649,290.50 = 649,290.50 : x
  2. Step 2: Convert to fraction form
    299,464/649,290.50 = 649,290.50/x
  3. Step 3: Cross multiply
    299,464x = 649,290.50 × 649,290.50
  4. Step 4: Simplify right side
    299,464x = 421,578,153,390.25
  5. Step 5: Solve for x
    x = 421,578,153,390.25/299,464
  6. Step 6: Final answer
    x = 1,407,775.74

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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.