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Finding the Third Proportional to 304,614,442 and 464,063,919

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Solution

The third proportional to 304,614,442 and 464,063,919 is: 706,976,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,442 : 464,063,919 = 464,063,919 : x
  2. Step 2: Convert to fraction form
    304,614,442/464,063,919 = 464,063,919/x
  3. Step 3: Cross multiply
    304,614,442x = 464,063,919 × 464,063,919
  4. Step 4: Simplify right side
    304,614,442x = 215,355,320,917,638,560
  5. Step 5: Solve for x
    x = 215,355,320,917,638,560/304,614,442
  6. Step 6: Final answer
    x = 706,976,726.07

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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.