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Finding the Third Proportional to 275,480 and 597,264

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Solution

The third proportional to 275,480 and 597,264 is: 1,294,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,480 : 597,264 = 597,264 : x
  2. Step 2: Convert to fraction form
    275,480/597,264 = 597,264/x
  3. Step 3: Cross multiply
    275,480x = 597,264 × 597,264
  4. Step 4: Simplify right side
    275,480x = 356,724,285,696
  5. Step 5: Solve for x
    x = 356,724,285,696/275,480
  6. Step 6: Final answer
    x = 1,294,919.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.