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Finding the Third Proportional to 333,117 and 474,763

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Solution

The third proportional to 333,117 and 474,763 is: 676,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,117 : 474,763 = 474,763 : x
  2. Step 2: Convert to fraction form
    333,117/474,763 = 474,763/x
  3. Step 3: Cross multiply
    333,117x = 474,763 × 474,763
  4. Step 4: Simplify right side
    333,117x = 225,399,906,169
  5. Step 5: Solve for x
    x = 225,399,906,169/333,117
  6. Step 6: Final answer
    x = 676,638.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.