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Finding the Third Proportional to 322,526,494 and 498,047,905

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Solution

The third proportional to 322,526,494 and 498,047,905 is: 769,089,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,494 : 498,047,905 = 498,047,905 : x
  2. Step 2: Convert to fraction form
    322,526,494/498,047,905 = 498,047,905/x
  3. Step 3: Cross multiply
    322,526,494x = 498,047,905 × 498,047,905
  4. Step 4: Simplify right side
    322,526,494x = 248,051,715,674,889,024
  5. Step 5: Solve for x
    x = 248,051,715,674,889,024/322,526,494
  6. Step 6: Final answer
    x = 769,089,424.56

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Why These Related Problems?

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