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Finding the Third Proportional to 435,148 and 675,199

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Solution

The third proportional to 435,148 and 675,199 is: 1,047,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,148 : 675,199 = 675,199 : x
  2. Step 2: Convert to fraction form
    435,148/675,199 = 675,199/x
  3. Step 3: Cross multiply
    435,148x = 675,199 × 675,199
  4. Step 4: Simplify right side
    435,148x = 455,893,689,601
  5. Step 5: Solve for x
    x = 455,893,689,601/435,148
  6. Step 6: Final answer
    x = 1,047,675.02

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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.