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Finding the Third Proportional to 235,952 and 511,260

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Solution

The third proportional to 235,952 and 511,260 is: 1,107,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,952 : 511,260 = 511,260 : x
  2. Step 2: Convert to fraction form
    235,952/511,260 = 511,260/x
  3. Step 3: Cross multiply
    235,952x = 511,260 × 511,260
  4. Step 4: Simplify right side
    235,952x = 261,386,787,600
  5. Step 5: Solve for x
    x = 261,386,787,600/235,952
  6. Step 6: Final answer
    x = 1,107,796.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.