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Finding the Third Proportional to 264,480 and 543,036

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Solution

The third proportional to 264,480 and 543,036 is: 1,114,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,480 : 543,036 = 543,036 : x
  2. Step 2: Convert to fraction form
    264,480/543,036 = 543,036/x
  3. Step 3: Cross multiply
    264,480x = 543,036 × 543,036
  4. Step 4: Simplify right side
    264,480x = 294,888,097,296
  5. Step 5: Solve for x
    x = 294,888,097,296/264,480
  6. Step 6: Final answer
    x = 1,114,973.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.