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Finding the Third Proportional to 264,160 and 515,084

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Solution

The third proportional to 264,160 and 515,084 is: 1,004,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,160 : 515,084 = 515,084 : x
  2. Step 2: Convert to fraction form
    264,160/515,084 = 515,084/x
  3. Step 3: Cross multiply
    264,160x = 515,084 × 515,084
  4. Step 4: Simplify right side
    264,160x = 265,311,527,056
  5. Step 5: Solve for x
    x = 265,311,527,056/264,160
  6. Step 6: Final answer
    x = 1,004,359.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.