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Finding the Third Proportional to 363,901,024 and 520,382,760

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Solution

The third proportional to 363,901,024 and 520,382,760 is: 744,153,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,901,024 : 520,382,760 = 520,382,760 : x
  2. Step 2: Convert to fraction form
    363,901,024/520,382,760 = 520,382,760/x
  3. Step 3: Cross multiply
    363,901,024x = 520,382,760 × 520,382,760
  4. Step 4: Simplify right side
    363,901,024x = 270,798,216,905,217,600
  5. Step 5: Solve for x
    x = 270,798,216,905,217,600/363,901,024
  6. Step 6: Final answer
    x = 744,153,489.67

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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.