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Finding the Third Proportional to 265,152 and 576,408

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Solution

The third proportional to 265,152 and 576,408 is: 1,253,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,152 : 576,408 = 576,408 : x
  2. Step 2: Convert to fraction form
    265,152/576,408 = 576,408/x
  3. Step 3: Cross multiply
    265,152x = 576,408 × 576,408
  4. Step 4: Simplify right side
    265,152x = 332,246,182,464
  5. Step 5: Solve for x
    x = 332,246,182,464/265,152
  6. Step 6: Final answer
    x = 1,253,040.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.