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Finding the Third Proportional to 259,268 and 392,524

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Solution

The third proportional to 259,268 and 392,524 is: 594,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,268 : 392,524 = 392,524 : x
  2. Step 2: Convert to fraction form
    259,268/392,524 = 392,524/x
  3. Step 3: Cross multiply
    259,268x = 392,524 × 392,524
  4. Step 4: Simplify right side
    259,268x = 154,075,090,576
  5. Step 5: Solve for x
    x = 154,075,090,576/259,268
  6. Step 6: Final answer
    x = 594,269.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.