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Finding the Third Proportional to 274,617 and 578,758.50

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Solution

The third proportional to 274,617 and 578,758.50 is: 1,219,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,617 : 578,758.50 = 578,758.50 : x
  2. Step 2: Convert to fraction form
    274,617/578,758.50 = 578,758.50/x
  3. Step 3: Cross multiply
    274,617x = 578,758.50 × 578,758.50
  4. Step 4: Simplify right side
    274,617x = 334,961,401,322.25
  5. Step 5: Solve for x
    x = 334,961,401,322.25/274,617
  6. Step 6: Final answer
    x = 1,219,740.22

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.