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Finding the Third Proportional to 321,440,326.59 and 697,677,963.19

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Solution

The third proportional to 321,440,326.59 and 697,677,963.19 is: 1,514,292,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,440,326.59 : 697,677,963.19 = 697,677,963.19 : x
  2. Step 2: Convert to fraction form
    321,440,326.59/697,677,963.19 = 697,677,963.19/x
  3. Step 3: Cross multiply
    321,440,326.59x = 697,677,963.19 × 697,677,963.19
  4. Step 4: Simplify right side
    321,440,326.59x = 486,754,540,317,458,624
  5. Step 5: Solve for x
    x = 486,754,540,317,458,624/321,440,326.59
  6. Step 6: Final answer
    x = 1,514,292,078.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.