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Finding the Third Proportional to 355,120 and 754,304

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Solution

The third proportional to 355,120 and 754,304 is: 1,602,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,120 : 754,304 = 754,304 : x
  2. Step 2: Convert to fraction form
    355,120/754,304 = 754,304/x
  3. Step 3: Cross multiply
    355,120x = 754,304 × 754,304
  4. Step 4: Simplify right side
    355,120x = 568,974,524,416
  5. Step 5: Solve for x
    x = 568,974,524,416/355,120
  6. Step 6: Final answer
    x = 1,602,203.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.