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Finding the Third Proportional to 255,916 and 528,224

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Solution

The third proportional to 255,916 and 528,224 is: 1,090,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,916 : 528,224 = 528,224 : x
  2. Step 2: Convert to fraction form
    255,916/528,224 = 528,224/x
  3. Step 3: Cross multiply
    255,916x = 528,224 × 528,224
  4. Step 4: Simplify right side
    255,916x = 279,020,594,176
  5. Step 5: Solve for x
    x = 279,020,594,176/255,916
  6. Step 6: Final answer
    x = 1,090,281.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.