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Finding the Third Proportional to 464,919 and 718,105.50

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Solution

The third proportional to 464,919 and 718,105.50 is: 1,109,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,919 : 718,105.50 = 718,105.50 : x
  2. Step 2: Convert to fraction form
    464,919/718,105.50 = 718,105.50/x
  3. Step 3: Cross multiply
    464,919x = 718,105.50 × 718,105.50
  4. Step 4: Simplify right side
    464,919x = 515,675,509,130.25
  5. Step 5: Solve for x
    x = 515,675,509,130.25/464,919
  6. Step 6: Final answer
    x = 1,109,172.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.