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Finding the Third Proportional to 294,390 and 466,920

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Solution

The third proportional to 294,390 and 466,920 is: 740,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,390 : 466,920 = 466,920 : x
  2. Step 2: Convert to fraction form
    294,390/466,920 = 466,920/x
  3. Step 3: Cross multiply
    294,390x = 466,920 × 466,920
  4. Step 4: Simplify right side
    294,390x = 218,014,286,400
  5. Step 5: Solve for x
    x = 218,014,286,400/294,390
  6. Step 6: Final answer
    x = 740,562.81

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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.