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Finding the Third Proportional to 280,292 and 435,200

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Solution

The third proportional to 280,292 and 435,200 is: 675,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292 : 435,200 = 435,200 : x
  2. Step 2: Convert to fraction form
    280,292/435,200 = 435,200/x
  3. Step 3: Cross multiply
    280,292x = 435,200 × 435,200
  4. Step 4: Simplify right side
    280,292x = 189,399,040,000
  5. Step 5: Solve for x
    x = 189,399,040,000/280,292
  6. Step 6: Final answer
    x = 675,720.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.