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Finding the Third Proportional to 274,824 and 602,784

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Solution

The third proportional to 274,824 and 602,784 is: 1,322,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,824 : 602,784 = 602,784 : x
  2. Step 2: Convert to fraction form
    274,824/602,784 = 602,784/x
  3. Step 3: Cross multiply
    274,824x = 602,784 × 602,784
  4. Step 4: Simplify right side
    274,824x = 363,348,550,656
  5. Step 5: Solve for x
    x = 363,348,550,656/274,824
  6. Step 6: Final answer
    x = 1,322,113.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.