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Finding the Third Proportional to 232,917,624 and 498,554,640

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Solution

The third proportional to 232,917,624 and 498,554,640 is: 1,067,144,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,917,624 : 498,554,640 = 498,554,640 : x
  2. Step 2: Convert to fraction form
    232,917,624/498,554,640 = 498,554,640/x
  3. Step 3: Cross multiply
    232,917,624x = 498,554,640 × 498,554,640
  4. Step 4: Simplify right side
    232,917,624x = 248,556,729,065,529,600
  5. Step 5: Solve for x
    x = 248,556,729,065,529,600/232,917,624
  6. Step 6: Final answer
    x = 1,067,144,361.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.