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Finding the Third Proportional to 264,816.84 and 340,017.75

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Solution

The third proportional to 264,816.84 and 340,017.75 is: 436,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816.84 : 340,017.75 = 340,017.75 : x
  2. Step 2: Convert to fraction form
    264,816.84/340,017.75 = 340,017.75/x
  3. Step 3: Cross multiply
    264,816.84x = 340,017.75 × 340,017.75
  4. Step 4: Simplify right side
    264,816.84x = 115,612,070,315.06
  5. Step 5: Solve for x
    x = 115,612,070,315.06/264,816.84
  6. Step 6: Final answer
    x = 436,573.70

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.