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Finding the Third Proportional to 265,530 and 573,318

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Solution

The third proportional to 265,530 and 573,318 is: 1,237,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,530 : 573,318 = 573,318 : x
  2. Step 2: Convert to fraction form
    265,530/573,318 = 573,318/x
  3. Step 3: Cross multiply
    265,530x = 573,318 × 573,318
  4. Step 4: Simplify right side
    265,530x = 328,693,529,124
  5. Step 5: Solve for x
    x = 328,693,529,124/265,530
  6. Step 6: Final answer
    x = 1,237,877.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.