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Finding the Third Proportional to 612,265 and 920,733

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Solution

The third proportional to 612,265 and 920,733 is: 1,384,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,265 : 920,733 = 920,733 : x
  2. Step 2: Convert to fraction form
    612,265/920,733 = 920,733/x
  3. Step 3: Cross multiply
    612,265x = 920,733 × 920,733
  4. Step 4: Simplify right side
    612,265x = 847,749,257,289
  5. Step 5: Solve for x
    x = 847,749,257,289/612,265
  6. Step 6: Final answer
    x = 1,384,611.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.