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Finding the Third Proportional to 304,614,454 and 464,063,934

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Solution

The third proportional to 304,614,454 and 464,063,934 is: 706,976,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,454 : 464,063,934 = 464,063,934 : x
  2. Step 2: Convert to fraction form
    304,614,454/464,063,934 = 464,063,934/x
  3. Step 3: Cross multiply
    304,614,454x = 464,063,934 × 464,063,934
  4. Step 4: Simplify right side
    304,614,454x = 215,355,334,839,556,352
  5. Step 5: Solve for x
    x = 215,355,334,839,556,352/304,614,454
  6. Step 6: Final answer
    x = 706,976,743.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.