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Finding the Third Proportional to 348,300 and 521,100

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Solution

The third proportional to 348,300 and 521,100 is: 779,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,300 : 521,100 = 521,100 : x
  2. Step 2: Convert to fraction form
    348,300/521,100 = 521,100/x
  3. Step 3: Cross multiply
    348,300x = 521,100 × 521,100
  4. Step 4: Simplify right side
    348,300x = 271,545,210,000
  5. Step 5: Solve for x
    x = 271,545,210,000/348,300
  6. Step 6: Final answer
    x = 779,630.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.