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Finding the Third Proportional to 304,004 and 466,615

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Solution

The third proportional to 304,004 and 466,615 is: 716,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,004 : 466,615 = 466,615 : x
  2. Step 2: Convert to fraction form
    304,004/466,615 = 466,615/x
  3. Step 3: Cross multiply
    304,004x = 466,615 × 466,615
  4. Step 4: Simplify right side
    304,004x = 217,729,558,225
  5. Step 5: Solve for x
    x = 217,729,558,225/304,004
  6. Step 6: Final answer
    x = 716,206.23

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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.