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Finding the Third Proportional to 364,575,366 and 520,969,758

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Solution

The third proportional to 364,575,366 and 520,969,758 is: 744,453,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575,366 : 520,969,758 = 520,969,758 : x
  2. Step 2: Convert to fraction form
    364,575,366/520,969,758 = 520,969,758/x
  3. Step 3: Cross multiply
    364,575,366x = 520,969,758 × 520,969,758
  4. Step 4: Simplify right side
    364,575,366x = 271,409,488,750,578,560
  5. Step 5: Solve for x
    x = 271,409,488,750,578,560/364,575,366
  6. Step 6: Final answer
    x = 744,453,723.60

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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.