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Finding the Third Proportional to 294,405 and 466,939

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Solution

The third proportional to 294,405 and 466,939 is: 740,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,405 : 466,939 = 466,939 : x
  2. Step 2: Convert to fraction form
    294,405/466,939 = 466,939/x
  3. Step 3: Cross multiply
    294,405x = 466,939 × 466,939
  4. Step 4: Simplify right side
    294,405x = 218,032,029,721
  5. Step 5: Solve for x
    x = 218,032,029,721/294,405
  6. Step 6: Final answer
    x = 740,585.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.