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Finding the Third Proportional to 338,961 and 743,046

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Solution

The third proportional to 338,961 and 743,046 is: 1,628,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,961 : 743,046 = 743,046 : x
  2. Step 2: Convert to fraction form
    338,961/743,046 = 743,046/x
  3. Step 3: Cross multiply
    338,961x = 743,046 × 743,046
  4. Step 4: Simplify right side
    338,961x = 552,117,358,116
  5. Step 5: Solve for x
    x = 552,117,358,116/338,961
  6. Step 6: Final answer
    x = 1,628,852.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.