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Finding the Third Proportional to 364,123 and 557,271

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Solution

The third proportional to 364,123 and 557,271 is: 852,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,123 : 557,271 = 557,271 : x
  2. Step 2: Convert to fraction form
    364,123/557,271 = 557,271/x
  3. Step 3: Cross multiply
    364,123x = 557,271 × 557,271
  4. Step 4: Simplify right side
    364,123x = 310,550,967,441
  5. Step 5: Solve for x
    x = 310,550,967,441/364,123
  6. Step 6: Final answer
    x = 852,873.80

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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.