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Finding the Third Proportional to 322,526,507 and 498,047,928

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Solution

The third proportional to 322,526,507 and 498,047,928 is: 769,089,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,507 : 498,047,928 = 498,047,928 : x
  2. Step 2: Convert to fraction form
    322,526,507/498,047,928 = 498,047,928/x
  3. Step 3: Cross multiply
    322,526,507x = 498,047,928 × 498,047,928
  4. Step 4: Simplify right side
    322,526,507x = 248,051,738,585,093,184
  5. Step 5: Solve for x
    x = 248,051,738,585,093,184/322,526,507
  6. Step 6: Final answer
    x = 769,089,464.59

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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.