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Finding the Third Proportional to 342,692 and 737,896

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Solution

The third proportional to 342,692 and 737,896 is: 1,588,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,692 : 737,896 = 737,896 : x
  2. Step 2: Convert to fraction form
    342,692/737,896 = 737,896/x
  3. Step 3: Cross multiply
    342,692x = 737,896 × 737,896
  4. Step 4: Simplify right side
    342,692x = 544,490,506,816
  5. Step 5: Solve for x
    x = 544,490,506,816/342,692
  6. Step 6: Final answer
    x = 1,588,862.61

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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.