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Finding the Third Proportional to 366,946 and 759,063

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Solution

The third proportional to 366,946 and 759,063 is: 1,570,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 759,063 = 759,063 : x
  2. Step 2: Convert to fraction form
    366,946/759,063 = 759,063/x
  3. Step 3: Cross multiply
    366,946x = 759,063 × 759,063
  4. Step 4: Simplify right side
    366,946x = 576,176,637,969
  5. Step 5: Solve for x
    x = 576,176,637,969/366,946
  6. Step 6: Final answer
    x = 1,570,194.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.