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Finding the Third Proportional to 435,150 and 675,202

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Solution

The third proportional to 435,150 and 675,202 is: 1,047,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,150 : 675,202 = 675,202 : x
  2. Step 2: Convert to fraction form
    435,150/675,202 = 675,202/x
  3. Step 3: Cross multiply
    435,150x = 675,202 × 675,202
  4. Step 4: Simplify right side
    435,150x = 455,897,740,804
  5. Step 5: Solve for x
    x = 455,897,740,804/435,150
  6. Step 6: Final answer
    x = 1,047,679.51

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Why These Related Problems?

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