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Finding the Third Proportional to 322,526,509 and 498,047,931

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Solution

The third proportional to 322,526,509 and 498,047,931 is: 769,089,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,509 : 498,047,931 = 498,047,931 : x
  2. Step 2: Convert to fraction form
    322,526,509/498,047,931 = 498,047,931/x
  3. Step 3: Cross multiply
    322,526,509x = 498,047,931 × 498,047,931
  4. Step 4: Simplify right side
    322,526,509x = 248,051,741,573,380,768
  5. Step 5: Solve for x
    x = 248,051,741,573,380,768/322,526,509
  6. Step 6: Final answer
    x = 769,089,469.09

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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.