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Finding the Third Proportional to 375,530.25 and 576,418.50

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Solution

The third proportional to 375,530.25 and 576,418.50 is: 884,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,530.25 : 576,418.50 = 576,418.50 : x
  2. Step 2: Convert to fraction form
    375,530.25/576,418.50 = 576,418.50/x
  3. Step 3: Cross multiply
    375,530.25x = 576,418.50 × 576,418.50
  4. Step 4: Simplify right side
    375,530.25x = 332,258,287,142.25
  5. Step 5: Solve for x
    x = 332,258,287,142.25/375,530.25
  6. Step 6: Final answer
    x = 884,771.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.