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Finding the Third Proportional to 364,575,296 and 520,969,618

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Solution

The third proportional to 364,575,296 and 520,969,618 is: 744,453,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575,296 : 520,969,618 = 520,969,618 : x
  2. Step 2: Convert to fraction form
    364,575,296/520,969,618 = 520,969,618/x
  3. Step 3: Cross multiply
    364,575,296x = 520,969,618 × 520,969,618
  4. Step 4: Simplify right side
    364,575,296x = 271,409,342,879,065,920
  5. Step 5: Solve for x
    x = 271,409,342,879,065,920/364,575,296
  6. Step 6: Final answer
    x = 744,453,466.42

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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.