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Finding the Third Proportional to 320,164 and 463,716

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Solution

The third proportional to 320,164 and 463,716 is: 671,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,164 : 463,716 = 463,716 : x
  2. Step 2: Convert to fraction form
    320,164/463,716 = 463,716/x
  3. Step 3: Cross multiply
    320,164x = 463,716 × 463,716
  4. Step 4: Simplify right side
    320,164x = 215,032,528,656
  5. Step 5: Solve for x
    x = 215,032,528,656/320,164
  6. Step 6: Final answer
    x = 671,632.44

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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.