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Finding the Third Proportional to 466,668 and 997,304

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Solution

The third proportional to 466,668 and 997,304 is: 2,131,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,668 : 997,304 = 997,304 : x
  2. Step 2: Convert to fraction form
    466,668/997,304 = 997,304/x
  3. Step 3: Cross multiply
    466,668x = 997,304 × 997,304
  4. Step 4: Simplify right side
    466,668x = 994,615,268,416
  5. Step 5: Solve for x
    x = 994,615,268,416/466,668
  6. Step 6: Final answer
    x = 2,131,312.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.