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Finding the Third Proportional to 347,310 and 757,476

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Solution

The third proportional to 347,310 and 757,476 is: 1,652,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,310 : 757,476 = 757,476 : x
  2. Step 2: Convert to fraction form
    347,310/757,476 = 757,476/x
  3. Step 3: Cross multiply
    347,310x = 757,476 × 757,476
  4. Step 4: Simplify right side
    347,310x = 573,769,890,576
  5. Step 5: Solve for x
    x = 573,769,890,576/347,310
  6. Step 6: Final answer
    x = 1,652,039.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.