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Finding the Third Proportional to 348,936 and 523,389

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Solution

The third proportional to 348,936 and 523,389 is: 785,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,936 : 523,389 = 523,389 : x
  2. Step 2: Convert to fraction form
    348,936/523,389 = 523,389/x
  3. Step 3: Cross multiply
    348,936x = 523,389 × 523,389
  4. Step 4: Simplify right side
    348,936x = 273,936,045,321
  5. Step 5: Solve for x
    x = 273,936,045,321/348,936
  6. Step 6: Final answer
    x = 785,061.00

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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.