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Finding the Third Proportional to 262,708,844.06 and 369,532,778.06

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Solution

The third proportional to 262,708,844.06 and 369,532,778.06 is: 519,793,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,708,844.06 : 369,532,778.06 = 369,532,778.06 : x
  2. Step 2: Convert to fraction form
    262,708,844.06/369,532,778.06 = 369,532,778.06/x
  3. Step 3: Cross multiply
    262,708,844.06x = 369,532,778.06 × 369,532,778.06
  4. Step 4: Simplify right side
    262,708,844.06x = 136,554,474,062,588,880
  5. Step 5: Solve for x
    x = 136,554,474,062,588,880/262,708,844.06
  6. Step 6: Final answer
    x = 519,793,974.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.