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Finding the Third Proportional to 265,692 and 574,800

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Solution

The third proportional to 265,692 and 574,800 is: 1,243,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,692 : 574,800 = 574,800 : x
  2. Step 2: Convert to fraction form
    265,692/574,800 = 574,800/x
  3. Step 3: Cross multiply
    265,692x = 574,800 × 574,800
  4. Step 4: Simplify right side
    265,692x = 330,395,040,000
  5. Step 5: Solve for x
    x = 330,395,040,000/265,692
  6. Step 6: Final answer
    x = 1,243,526.49

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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.