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Finding the Third Proportional to 343,440 and 505,215

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Solution

The third proportional to 343,440 and 505,215 is: 743,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,440 : 505,215 = 505,215 : x
  2. Step 2: Convert to fraction form
    343,440/505,215 = 505,215/x
  3. Step 3: Cross multiply
    343,440x = 505,215 × 505,215
  4. Step 4: Simplify right side
    343,440x = 255,242,196,225
  5. Step 5: Solve for x
    x = 255,242,196,225/343,440
  6. Step 6: Final answer
    x = 743,192.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.