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Finding the Third Proportional to 387,952 and 576,096

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Solution

The third proportional to 387,952 and 576,096 is: 855,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,952 : 576,096 = 576,096 : x
  2. Step 2: Convert to fraction form
    387,952/576,096 = 576,096/x
  3. Step 3: Cross multiply
    387,952x = 576,096 × 576,096
  4. Step 4: Simplify right side
    387,952x = 331,886,601,216
  5. Step 5: Solve for x
    x = 331,886,601,216/387,952
  6. Step 6: Final answer
    x = 855,483.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.