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Finding the Third Proportional to 294,302 and 466,330

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Solution

The third proportional to 294,302 and 466,330 is: 738,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,302 : 466,330 = 466,330 : x
  2. Step 2: Convert to fraction form
    294,302/466,330 = 466,330/x
  3. Step 3: Cross multiply
    294,302x = 466,330 × 466,330
  4. Step 4: Simplify right side
    294,302x = 217,463,668,900
  5. Step 5: Solve for x
    x = 217,463,668,900/294,302
  6. Step 6: Final answer
    x = 738,913.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.