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Finding the Third Proportional to 255,922 and 528,236

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Solution

The third proportional to 255,922 and 528,236 is: 1,090,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,922 : 528,236 = 528,236 : x
  2. Step 2: Convert to fraction form
    255,922/528,236 = 528,236/x
  3. Step 3: Cross multiply
    255,922x = 528,236 × 528,236
  4. Step 4: Simplify right side
    255,922x = 279,033,271,696
  5. Step 5: Solve for x
    x = 279,033,271,696/255,922
  6. Step 6: Final answer
    x = 1,090,305.92

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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.