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Finding the Third Proportional to 322,526,505 and 498,047,925

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Solution

The third proportional to 322,526,505 and 498,047,925 is: 769,089,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,505 : 498,047,925 = 498,047,925 : x
  2. Step 2: Convert to fraction form
    322,526,505/498,047,925 = 498,047,925/x
  3. Step 3: Cross multiply
    322,526,505x = 498,047,925 × 498,047,925
  4. Step 4: Simplify right side
    322,526,505x = 248,051,735,596,805,632
  5. Step 5: Solve for x
    x = 248,051,735,596,805,632/322,526,505
  6. Step 6: Final answer
    x = 769,089,460.10

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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.