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Finding the Third Proportional to 321,055.21 and 691,779.23

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Solution

The third proportional to 321,055.21 and 691,779.23 is: 1,490,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,055.21 : 691,779.23 = 691,779.23 : x
  2. Step 2: Convert to fraction form
    321,055.21/691,779.23 = 691,779.23/x
  3. Step 3: Cross multiply
    321,055.21x = 691,779.23 × 691,779.23
  4. Step 4: Simplify right side
    321,055.21x = 478,558,509,112.46
  5. Step 5: Solve for x
    x = 478,558,509,112.46/321,055.21
  6. Step 6: Final answer
    x = 1,490,580.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.