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Finding the Third Proportional to 320,176 and 463,732

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Solution

The third proportional to 320,176 and 463,732 is: 671,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,176 : 463,732 = 463,732 : x
  2. Step 2: Convert to fraction form
    320,176/463,732 = 463,732/x
  3. Step 3: Cross multiply
    320,176x = 463,732 × 463,732
  4. Step 4: Simplify right side
    320,176x = 215,047,367,824
  5. Step 5: Solve for x
    x = 215,047,367,824/320,176
  6. Step 6: Final answer
    x = 671,653.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.