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Finding the Third Proportional to 333,364 and 529,573

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Solution

The third proportional to 333,364 and 529,573 is: 841,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,364 : 529,573 = 529,573 : x
  2. Step 2: Convert to fraction form
    333,364/529,573 = 529,573/x
  3. Step 3: Cross multiply
    333,364x = 529,573 × 529,573
  4. Step 4: Simplify right side
    333,364x = 280,447,562,329
  5. Step 5: Solve for x
    x = 280,447,562,329/333,364
  6. Step 6: Final answer
    x = 841,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.