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Finding the Third Proportional to 359,403,028 and 513,595,254

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Solution

The third proportional to 359,403,028 and 513,595,254 is: 733,939,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,403,028 : 513,595,254 = 513,595,254 : x
  2. Step 2: Convert to fraction form
    359,403,028/513,595,254 = 513,595,254/x
  3. Step 3: Cross multiply
    359,403,028x = 513,595,254 × 513,595,254
  4. Step 4: Simplify right side
    359,403,028x = 263,780,084,931,324,512
  5. Step 5: Solve for x
    x = 263,780,084,931,324,512/359,403,028
  6. Step 6: Final answer
    x = 733,939,517.42

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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.