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Finding the Third Proportional to 301,673 and 595,732

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Solution

The third proportional to 301,673 and 595,732 is: 1,176,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,673 : 595,732 = 595,732 : x
  2. Step 2: Convert to fraction form
    301,673/595,732 = 595,732/x
  3. Step 3: Cross multiply
    301,673x = 595,732 × 595,732
  4. Step 4: Simplify right side
    301,673x = 354,896,615,824
  5. Step 5: Solve for x
    x = 354,896,615,824/301,673
  6. Step 6: Final answer
    x = 1,176,428.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.