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Finding the Third Proportional to 347,262 and 737,157

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Solution

The third proportional to 347,262 and 737,157 is: 1,564,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,262 : 737,157 = 737,157 : x
  2. Step 2: Convert to fraction form
    347,262/737,157 = 737,157/x
  3. Step 3: Cross multiply
    347,262x = 737,157 × 737,157
  4. Step 4: Simplify right side
    347,262x = 543,400,442,649
  5. Step 5: Solve for x
    x = 543,400,442,649/347,262
  6. Step 6: Final answer
    x = 1,564,814.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.