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Finding the Third Proportional to 370,941,729.75 and 573,844,270.50

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Solution

The third proportional to 370,941,729.75 and 573,844,270.50 is: 887,733,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,941,729.75 : 573,844,270.50 = 573,844,270.50 : x
  2. Step 2: Convert to fraction form
    370,941,729.75/573,844,270.50 = 573,844,270.50/x
  3. Step 3: Cross multiply
    370,941,729.75x = 573,844,270.50 × 573,844,270.50
  4. Step 4: Simplify right side
    370,941,729.75x = 329,297,246,785,677,184
  5. Step 5: Solve for x
    x = 329,297,246,785,677,184/370,941,729.75
  6. Step 6: Final answer
    x = 887,733,086.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.