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Finding the Third Proportional to 333,348 and 476,343

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Solution

The third proportional to 333,348 and 476,343 is: 680,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348 : 476,343 = 476,343 : x
  2. Step 2: Convert to fraction form
    333,348/476,343 = 476,343/x
  3. Step 3: Cross multiply
    333,348x = 476,343 × 476,343
  4. Step 4: Simplify right side
    333,348x = 226,902,653,649
  5. Step 5: Solve for x
    x = 226,902,653,649/333,348
  6. Step 6: Final answer
    x = 680,678.01

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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.