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Finding the Third Proportional to 348,320 and 521,130

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Solution

The third proportional to 348,320 and 521,130 is: 779,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,320 : 521,130 = 521,130 : x
  2. Step 2: Convert to fraction form
    348,320/521,130 = 521,130/x
  3. Step 3: Cross multiply
    348,320x = 521,130 × 521,130
  4. Step 4: Simplify right side
    348,320x = 271,576,476,900
  5. Step 5: Solve for x
    x = 271,576,476,900/348,320
  6. Step 6: Final answer
    x = 779,675.23

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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.