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Finding the Third Proportional to 294,138 and 466,020

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Solution

The third proportional to 294,138 and 466,020 is: 738,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,138 : 466,020 = 466,020 : x
  2. Step 2: Convert to fraction form
    294,138/466,020 = 466,020/x
  3. Step 3: Cross multiply
    294,138x = 466,020 × 466,020
  4. Step 4: Simplify right side
    294,138x = 217,174,640,400
  5. Step 5: Solve for x
    x = 217,174,640,400/294,138
  6. Step 6: Final answer
    x = 738,342.68

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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.