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Finding the Third Proportional to 373,620 and 773,826

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Solution

The third proportional to 373,620 and 773,826 is: 1,602,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,620 : 773,826 = 773,826 : x
  2. Step 2: Convert to fraction form
    373,620/773,826 = 773,826/x
  3. Step 3: Cross multiply
    373,620x = 773,826 × 773,826
  4. Step 4: Simplify right side
    373,620x = 598,806,678,276
  5. Step 5: Solve for x
    x = 598,806,678,276/373,620
  6. Step 6: Final answer
    x = 1,602,715.80

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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.