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Finding the Third Proportional to 359,403,126 and 513,595,401

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Solution

The third proportional to 359,403,126 and 513,595,401 is: 733,939,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403,126 : 513,595,401 = 513,595,401 : x
  2. Step 2: Convert to fraction form
    359,403,126/513,595,401 = 513,595,401/x
  3. Step 3: Cross multiply
    359,403,126x = 513,595,401 × 513,595,401
  4. Step 4: Simplify right side
    359,403,126x = 263,780,235,928,350,816
  5. Step 5: Solve for x
    x = 263,780,235,928,350,816/359,403,126
  6. Step 6: Final answer
    x = 733,939,737.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.