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Finding the Third Proportional to 251,967,449.25 and 524,048,459.06

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Solution

The third proportional to 251,967,449.25 and 524,048,459.06 is: 1,089,929,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,967,449.25 : 524,048,459.06 = 524,048,459.06 : x
  2. Step 2: Convert to fraction form
    251,967,449.25/524,048,459.06 = 524,048,459.06/x
  3. Step 3: Cross multiply
    251,967,449.25x = 524,048,459.06 × 524,048,459.06
  4. Step 4: Simplify right side
    251,967,449.25x = 274,626,787,445,780,736
  5. Step 5: Solve for x
    x = 274,626,787,445,780,736/251,967,449.25
  6. Step 6: Final answer
    x = 1,089,929,624.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.