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Finding the Third Proportional to 379,465.50 and 576,969

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Solution

The third proportional to 379,465.50 and 576,969 is: 877,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,465.50 : 576,969 = 576,969 : x
  2. Step 2: Convert to fraction form
    379,465.50/576,969 = 576,969/x
  3. Step 3: Cross multiply
    379,465.50x = 576,969 × 576,969
  4. Step 4: Simplify right side
    379,465.50x = 332,893,226,961
  5. Step 5: Solve for x
    x = 332,893,226,961/379,465.50
  6. Step 6: Final answer
    x = 877,268.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.