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Finding the Third Proportional to 265,576 and 573,408

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Solution

The third proportional to 265,576 and 573,408 is: 1,238,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,576 : 573,408 = 573,408 : x
  2. Step 2: Convert to fraction form
    265,576/573,408 = 573,408/x
  3. Step 3: Cross multiply
    265,576x = 573,408 × 573,408
  4. Step 4: Simplify right side
    265,576x = 328,796,734,464
  5. Step 5: Solve for x
    x = 328,796,734,464/265,576
  6. Step 6: Final answer
    x = 1,238,051.38

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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.