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Finding the Third Proportional to 410,176 and 620,931

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Solution

The third proportional to 410,176 and 620,931 is: 939,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,176 : 620,931 = 620,931 : x
  2. Step 2: Convert to fraction form
    410,176/620,931 = 620,931/x
  3. Step 3: Cross multiply
    410,176x = 620,931 × 620,931
  4. Step 4: Simplify right side
    410,176x = 385,555,306,761
  5. Step 5: Solve for x
    x = 385,555,306,761/410,176
  6. Step 6: Final answer
    x = 939,975.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.