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Finding the Third Proportional to 264,184 and 515,130

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Solution

The third proportional to 264,184 and 515,130 is: 1,004,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,184 : 515,130 = 515,130 : x
  2. Step 2: Convert to fraction form
    264,184/515,130 = 515,130/x
  3. Step 3: Cross multiply
    264,184x = 515,130 × 515,130
  4. Step 4: Simplify right side
    264,184x = 265,358,916,900
  5. Step 5: Solve for x
    x = 265,358,916,900/264,184
  6. Step 6: Final answer
    x = 1,004,447.34

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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.