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Finding the Third Proportional to 338,396 and 535,452

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Solution

The third proportional to 338,396 and 535,452 is: 847,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,396 : 535,452 = 535,452 : x
  2. Step 2: Convert to fraction form
    338,396/535,452 = 535,452/x
  3. Step 3: Cross multiply
    338,396x = 535,452 × 535,452
  4. Step 4: Simplify right side
    338,396x = 286,708,844,304
  5. Step 5: Solve for x
    x = 286,708,844,304/338,396
  6. Step 6: Final answer
    x = 847,258.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.