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Finding the Third Proportional to 479,668 and 692,984

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Solution

The third proportional to 479,668 and 692,984 is: 1,001,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,668 : 692,984 = 692,984 : x
  2. Step 2: Convert to fraction form
    479,668/692,984 = 692,984/x
  3. Step 3: Cross multiply
    479,668x = 692,984 × 692,984
  4. Step 4: Simplify right side
    479,668x = 480,226,824,256
  5. Step 5: Solve for x
    x = 480,226,824,256/479,668
  6. Step 6: Final answer
    x = 1,001,165.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.