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Finding the Third Proportional to 366,946 and 773,680

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Solution

The third proportional to 366,946 and 773,680 is: 1,631,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 773,680 = 773,680 : x
  2. Step 2: Convert to fraction form
    366,946/773,680 = 773,680/x
  3. Step 3: Cross multiply
    366,946x = 773,680 × 773,680
  4. Step 4: Simplify right side
    366,946x = 598,580,742,400
  5. Step 5: Solve for x
    x = 598,580,742,400/366,946
  6. Step 6: Final answer
    x = 1,631,250.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.