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Finding the Third Proportional to 274,152 and 411,232

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Solution

The third proportional to 274,152 and 411,232 is: 616,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,152 : 411,232 = 411,232 : x
  2. Step 2: Convert to fraction form
    274,152/411,232 = 411,232/x
  3. Step 3: Cross multiply
    274,152x = 411,232 × 411,232
  4. Step 4: Simplify right side
    274,152x = 169,111,757,824
  5. Step 5: Solve for x
    x = 169,111,757,824/274,152
  6. Step 6: Final answer
    x = 616,854.00

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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.