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Finding the Third Proportional to 124,784 and 274,455

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Solution

The third proportional to 124,784 and 274,455 is: 603,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,784 : 274,455 = 274,455 : x
  2. Step 2: Convert to fraction form
    124,784/274,455 = 274,455/x
  3. Step 3: Cross multiply
    124,784x = 274,455 × 274,455
  4. Step 4: Simplify right side
    124,784x = 75,325,547,025
  5. Step 5: Solve for x
    x = 75,325,547,025/124,784
  6. Step 6: Final answer
    x = 603,647.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.