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Finding the Third Proportional to 333,246 and 474,939

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Solution

The third proportional to 333,246 and 474,939 is: 676,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,246 : 474,939 = 474,939 : x
  2. Step 2: Convert to fraction form
    333,246/474,939 = 474,939/x
  3. Step 3: Cross multiply
    333,246x = 474,939 × 474,939
  4. Step 4: Simplify right side
    333,246x = 225,567,053,721
  5. Step 5: Solve for x
    x = 225,567,053,721/333,246
  6. Step 6: Final answer
    x = 676,878.50

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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.