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Finding the Third Proportional to 338,986 and 460,386

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Solution

The third proportional to 338,986 and 460,386 is: 625,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,986 : 460,386 = 460,386 : x
  2. Step 2: Convert to fraction form
    338,986/460,386 = 460,386/x
  3. Step 3: Cross multiply
    338,986x = 460,386 × 460,386
  4. Step 4: Simplify right side
    338,986x = 211,955,268,996
  5. Step 5: Solve for x
    x = 211,955,268,996/338,986
  6. Step 6: Final answer
    x = 625,262.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.