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Finding the Third Proportional to 265,752 and 573,244

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Solution

The third proportional to 265,752 and 573,244 is: 1,236,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,752 : 573,244 = 573,244 : x
  2. Step 2: Convert to fraction form
    265,752/573,244 = 573,244/x
  3. Step 3: Cross multiply
    265,752x = 573,244 × 573,244
  4. Step 4: Simplify right side
    265,752x = 328,608,683,536
  5. Step 5: Solve for x
    x = 328,608,683,536/265,752
  6. Step 6: Final answer
    x = 1,236,523.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.