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Finding the Third Proportional to 460,536 and 612,132

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Solution

The third proportional to 460,536 and 612,132 is: 813,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,536 : 612,132 = 612,132 : x
  2. Step 2: Convert to fraction form
    460,536/612,132 = 612,132/x
  3. Step 3: Cross multiply
    460,536x = 612,132 × 612,132
  4. Step 4: Simplify right side
    460,536x = 374,705,585,424
  5. Step 5: Solve for x
    x = 374,705,585,424/460,536
  6. Step 6: Final answer
    x = 813,629.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.