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Finding the Third Proportional to 333,139 and 474,790

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Solution

The third proportional to 333,139 and 474,790 is: 676,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,139 : 474,790 = 474,790 : x
  2. Step 2: Convert to fraction form
    333,139/474,790 = 474,790/x
  3. Step 3: Cross multiply
    333,139x = 474,790 × 474,790
  4. Step 4: Simplify right side
    333,139x = 225,425,544,100
  5. Step 5: Solve for x
    x = 225,425,544,100/333,139
  6. Step 6: Final answer
    x = 676,671.13

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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.