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Finding the Third Proportional to 410,336 and 620,996

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Solution

The third proportional to 410,336 and 620,996 is: 939,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,336 : 620,996 = 620,996 : x
  2. Step 2: Convert to fraction form
    410,336/620,996 = 620,996/x
  3. Step 3: Cross multiply
    410,336x = 620,996 × 620,996
  4. Step 4: Simplify right side
    410,336x = 385,636,032,016
  5. Step 5: Solve for x
    x = 385,636,032,016/410,336
  6. Step 6: Final answer
    x = 939,805.51

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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.