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Finding the Third Proportional to 258,828.75 and 553,639.50

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Solution

The third proportional to 258,828.75 and 553,639.50 is: 1,184,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,828.75 : 553,639.50 = 553,639.50 : x
  2. Step 2: Convert to fraction form
    258,828.75/553,639.50 = 553,639.50/x
  3. Step 3: Cross multiply
    258,828.75x = 553,639.50 × 553,639.50
  4. Step 4: Simplify right side
    258,828.75x = 306,516,695,960.25
  5. Step 5: Solve for x
    x = 306,516,695,960.25/258,828.75
  6. Step 6: Final answer
    x = 1,184,245.17

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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.