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Finding the Third Proportional to 264,816 and 405,172.13

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Solution

The third proportional to 264,816 and 405,172.13 is: 619,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816 : 405,172.13 = 405,172.13 : x
  2. Step 2: Convert to fraction form
    264,816/405,172.13 = 405,172.13/x
  3. Step 3: Cross multiply
    264,816x = 405,172.13 × 405,172.13
  4. Step 4: Simplify right side
    264,816x = 164,164,450,877.02
  5. Step 5: Solve for x
    x = 164,164,450,877.02/264,816
  6. Step 6: Final answer
    x = 619,918.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.