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Finding the Third Proportional to 410,184 and 620,943

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Solution

The third proportional to 410,184 and 620,943 is: 939,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,184 : 620,943 = 620,943 : x
  2. Step 2: Convert to fraction form
    410,184/620,943 = 620,943/x
  3. Step 3: Cross multiply
    410,184x = 620,943 × 620,943
  4. Step 4: Simplify right side
    410,184x = 385,570,209,249
  5. Step 5: Solve for x
    x = 385,570,209,249/410,184
  6. Step 6: Final answer
    x = 939,993.29

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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.