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Finding the Third Proportional to 333,252 and 474,948

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Solution

The third proportional to 333,252 and 474,948 is: 676,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,252 : 474,948 = 474,948 : x
  2. Step 2: Convert to fraction form
    333,252/474,948 = 474,948/x
  3. Step 3: Cross multiply
    333,252x = 474,948 × 474,948
  4. Step 4: Simplify right side
    333,252x = 225,575,602,704
  5. Step 5: Solve for x
    x = 225,575,602,704/333,252
  6. Step 6: Final answer
    x = 676,891.97

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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.