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Finding the Third Proportional to 255,011 and 528,450

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Solution

The third proportional to 255,011 and 528,450 is: 1,095,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,011 : 528,450 = 528,450 : x
  2. Step 2: Convert to fraction form
    255,011/528,450 = 528,450/x
  3. Step 3: Cross multiply
    255,011x = 528,450 × 528,450
  4. Step 4: Simplify right side
    255,011x = 279,259,402,500
  5. Step 5: Solve for x
    x = 279,259,402,500/255,011
  6. Step 6: Final answer
    x = 1,095,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.