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Finding the Third Proportional to 320,672 and 616,768

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Solution

The third proportional to 320,672 and 616,768 is: 1,186,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,672 : 616,768 = 616,768 : x
  2. Step 2: Convert to fraction form
    320,672/616,768 = 616,768/x
  3. Step 3: Cross multiply
    320,672x = 616,768 × 616,768
  4. Step 4: Simplify right side
    320,672x = 380,402,765,824
  5. Step 5: Solve for x
    x = 380,402,765,824/320,672
  6. Step 6: Final answer
    x = 1,186,267.48

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.