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Finding the Third Proportional to 364,575,290 and 520,969,609

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Solution

The third proportional to 364,575,290 and 520,969,609 is: 744,453,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575,290 : 520,969,609 = 520,969,609 : x
  2. Step 2: Convert to fraction form
    364,575,290/520,969,609 = 520,969,609/x
  3. Step 3: Cross multiply
    364,575,290x = 520,969,609 × 520,969,609
  4. Step 4: Simplify right side
    364,575,290x = 271,409,333,501,612,896
  5. Step 5: Solve for x
    x = 271,409,333,501,612,896/364,575,290
  6. Step 6: Final answer
    x = 744,453,452.95

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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.