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Finding the Third Proportional to 294,854 and 467,614

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Solution

The third proportional to 294,854 and 467,614 is: 741,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,854 : 467,614 = 467,614 : x
  2. Step 2: Convert to fraction form
    294,854/467,614 = 467,614/x
  3. Step 3: Cross multiply
    294,854x = 467,614 × 467,614
  4. Step 4: Simplify right side
    294,854x = 218,662,852,996
  5. Step 5: Solve for x
    x = 218,662,852,996/294,854
  6. Step 6: Final answer
    x = 741,597.04

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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.