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Finding the Third Proportional to 304,614,444 and 464,063,922

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Solution

The third proportional to 304,614,444 and 464,063,922 is: 706,976,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,444 : 464,063,922 = 464,063,922 : x
  2. Step 2: Convert to fraction form
    304,614,444/464,063,922 = 464,063,922/x
  3. Step 3: Cross multiply
    304,614,444x = 464,063,922 × 464,063,922
  4. Step 4: Simplify right side
    304,614,444x = 215,355,323,702,022,080
  5. Step 5: Solve for x
    x = 215,355,323,702,022,080/304,614,444
  6. Step 6: Final answer
    x = 706,976,730.57

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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.