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Finding the Third Proportional to 383,464 and 525,984

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Solution

The third proportional to 383,464 and 525,984 is: 721,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,464 : 525,984 = 525,984 : x
  2. Step 2: Convert to fraction form
    383,464/525,984 = 525,984/x
  3. Step 3: Cross multiply
    383,464x = 525,984 × 525,984
  4. Step 4: Simplify right side
    383,464x = 276,659,168,256
  5. Step 5: Solve for x
    x = 276,659,168,256/383,464
  6. Step 6: Final answer
    x = 721,473.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.