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Finding the Third Proportional to 328,116 and 514,043.25

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Solution

The third proportional to 328,116 and 514,043.25 is: 805,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,116 : 514,043.25 = 514,043.25 : x
  2. Step 2: Convert to fraction form
    328,116/514,043.25 = 514,043.25/x
  3. Step 3: Cross multiply
    328,116x = 514,043.25 × 514,043.25
  4. Step 4: Simplify right side
    328,116x = 264,240,462,870.56
  5. Step 5: Solve for x
    x = 264,240,462,870.56/328,116
  6. Step 6: Final answer
    x = 805,326.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.