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Finding the Third Proportional to 324,317,452.50 and 699,653,160

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Solution

The third proportional to 324,317,452.50 and 699,653,160 is: 1,509,368,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,317,452.50 : 699,653,160 = 699,653,160 : x
  2. Step 2: Convert to fraction form
    324,317,452.50/699,653,160 = 699,653,160/x
  3. Step 3: Cross multiply
    324,317,452.50x = 699,653,160 × 699,653,160
  4. Step 4: Simplify right side
    324,317,452.50x = 489,514,544,297,985,600
  5. Step 5: Solve for x
    x = 489,514,544,297,985,600/324,317,452.50
  6. Step 6: Final answer
    x = 1,509,368,492.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.