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Finding the Third Proportional to 452,763 and 612,711

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Solution

The third proportional to 452,763 and 612,711 is: 829,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,763 : 612,711 = 612,711 : x
  2. Step 2: Convert to fraction form
    452,763/612,711 = 612,711/x
  3. Step 3: Cross multiply
    452,763x = 612,711 × 612,711
  4. Step 4: Simplify right side
    452,763x = 375,414,769,521
  5. Step 5: Solve for x
    x = 375,414,769,521/452,763
  6. Step 6: Final answer
    x = 829,163.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.