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Finding the Third Proportional to 258,868 and 553,728

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Solution

The third proportional to 258,868 and 553,728 is: 1,184,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,868 : 553,728 = 553,728 : x
  2. Step 2: Convert to fraction form
    258,868/553,728 = 553,728/x
  3. Step 3: Cross multiply
    258,868x = 553,728 × 553,728
  4. Step 4: Simplify right side
    258,868x = 306,614,697,984
  5. Step 5: Solve for x
    x = 306,614,697,984/258,868
  6. Step 6: Final answer
    x = 1,184,444.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.