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Finding the Third Proportional to 370,384,972.50 and 504,487,002

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Solution

The third proportional to 370,384,972.50 and 504,487,002 is: 687,142,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,384,972.50 : 504,487,002 = 504,487,002 : x
  2. Step 2: Convert to fraction form
    370,384,972.50/504,487,002 = 504,487,002/x
  3. Step 3: Cross multiply
    370,384,972.50x = 504,487,002 × 504,487,002
  4. Step 4: Simplify right side
    370,384,972.50x = 254,507,135,186,948,000
  5. Step 5: Solve for x
    x = 254,507,135,186,948,000/370,384,972.50
  6. Step 6: Final answer
    x = 687,142,173.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.