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Finding the Third Proportional to 322,526,492 and 498,047,902

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Solution

The third proportional to 322,526,492 and 498,047,902 is: 769,089,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,492 : 498,047,902 = 498,047,902 : x
  2. Step 2: Convert to fraction form
    322,526,492/498,047,902 = 498,047,902/x
  3. Step 3: Cross multiply
    322,526,492x = 498,047,902 × 498,047,902
  4. Step 4: Simplify right side
    322,526,492x = 248,051,712,686,601,600
  5. Step 5: Solve for x
    x = 248,051,712,686,601,600/322,526,492
  6. Step 6: Final answer
    x = 769,089,420.06

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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.