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Finding the Third Proportional to 362,604 and 797,700

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Solution

The third proportional to 362,604 and 797,700 is: 1,754,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,604 : 797,700 = 797,700 : x
  2. Step 2: Convert to fraction form
    362,604/797,700 = 797,700/x
  3. Step 3: Cross multiply
    362,604x = 797,700 × 797,700
  4. Step 4: Simplify right side
    362,604x = 636,325,290,000
  5. Step 5: Solve for x
    x = 636,325,290,000/362,604
  6. Step 6: Final answer
    x = 1,754,876.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.