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Finding the Third Proportional to 274,054 and 597,778

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Solution

The third proportional to 274,054 and 597,778 is: 1,303,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,054 : 597,778 = 597,778 : x
  2. Step 2: Convert to fraction form
    274,054/597,778 = 597,778/x
  3. Step 3: Cross multiply
    274,054x = 597,778 × 597,778
  4. Step 4: Simplify right side
    274,054x = 357,338,537,284
  5. Step 5: Solve for x
    x = 357,338,537,284/274,054
  6. Step 6: Final answer
    x = 1,303,898.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.