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Finding the Third Proportional to 322,464,988 and 486,370,000

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Solution

The third proportional to 322,464,988 and 486,370,000 is: 733,585,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464,988 : 486,370,000 = 486,370,000 : x
  2. Step 2: Convert to fraction form
    322,464,988/486,370,000 = 486,370,000/x
  3. Step 3: Cross multiply
    322,464,988x = 486,370,000 × 486,370,000
  4. Step 4: Simplify right side
    322,464,988x = 236,555,776,900,000,000
  5. Step 5: Solve for x
    x = 236,555,776,900,000,000/322,464,988
  6. Step 6: Final answer
    x = 733,585,926.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.