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Finding the Third Proportional to 265,851 and 573,444

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Solution

The third proportional to 265,851 and 573,444 is: 1,236,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,851 : 573,444 = 573,444 : x
  2. Step 2: Convert to fraction form
    265,851/573,444 = 573,444/x
  3. Step 3: Cross multiply
    265,851x = 573,444 × 573,444
  4. Step 4: Simplify right side
    265,851x = 328,838,021,136
  5. Step 5: Solve for x
    x = 328,838,021,136/265,851
  6. Step 6: Final answer
    x = 1,236,926.03

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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.