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Finding the Third Proportional to 265,950 and 615,036

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Solution

The third proportional to 265,950 and 615,036 is: 1,422,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,950 : 615,036 = 615,036 : x
  2. Step 2: Convert to fraction form
    265,950/615,036 = 615,036/x
  3. Step 3: Cross multiply
    265,950x = 615,036 × 615,036
  4. Step 4: Simplify right side
    265,950x = 378,269,281,296
  5. Step 5: Solve for x
    x = 378,269,281,296/265,950
  6. Step 6: Final answer
    x = 1,422,332.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.