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Finding the Third Proportional to 333,406 and 476,430

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Solution

The third proportional to 333,406 and 476,430 is: 680,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,406 : 476,430 = 476,430 : x
  2. Step 2: Convert to fraction form
    333,406/476,430 = 476,430/x
  3. Step 3: Cross multiply
    333,406x = 476,430 × 476,430
  4. Step 4: Simplify right side
    333,406x = 226,985,544,900
  5. Step 5: Solve for x
    x = 226,985,544,900/333,406
  6. Step 6: Final answer
    x = 680,808.22

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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.