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Finding the Third Proportional to 342,604 and 737,700

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Solution

The third proportional to 342,604 and 737,700 is: 1,588,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,604 : 737,700 = 737,700 : x
  2. Step 2: Convert to fraction form
    342,604/737,700 = 737,700/x
  3. Step 3: Cross multiply
    342,604x = 737,700 × 737,700
  4. Step 4: Simplify right side
    342,604x = 544,201,290,000
  5. Step 5: Solve for x
    x = 544,201,290,000/342,604
  6. Step 6: Final answer
    x = 1,588,426.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.