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Finding the Third Proportional to 435,016.50 and 612,609

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Solution

The third proportional to 435,016.50 and 612,609 is: 862,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,016.50 : 612,609 = 612,609 : x
  2. Step 2: Convert to fraction form
    435,016.50/612,609 = 612,609/x
  3. Step 3: Cross multiply
    435,016.50x = 612,609 × 612,609
  4. Step 4: Simplify right side
    435,016.50x = 375,289,786,881
  5. Step 5: Solve for x
    x = 375,289,786,881/435,016.50
  6. Step 6: Final answer
    x = 862,702.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.