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Finding the Third Proportional to 333,354 and 476,352

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Solution

The third proportional to 333,354 and 476,352 is: 680,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,354 : 476,352 = 476,352 : x
  2. Step 2: Convert to fraction form
    333,354/476,352 = 476,352/x
  3. Step 3: Cross multiply
    333,354x = 476,352 × 476,352
  4. Step 4: Simplify right side
    333,354x = 226,911,227,904
  5. Step 5: Solve for x
    x = 226,911,227,904/333,354
  6. Step 6: Final answer
    x = 680,691.48

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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.