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Finding the Third Proportional to 274,370 and 370,563

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Solution

The third proportional to 274,370 and 370,563 is: 500,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,370 : 370,563 = 370,563 : x
  2. Step 2: Convert to fraction form
    274,370/370,563 = 370,563/x
  3. Step 3: Cross multiply
    274,370x = 370,563 × 370,563
  4. Step 4: Simplify right side
    274,370x = 137,316,936,969
  5. Step 5: Solve for x
    x = 137,316,936,969/274,370
  6. Step 6: Final answer
    x = 500,480.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.