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Finding the Third Proportional to 333,361 and 529,566

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Solution

The third proportional to 333,361 and 529,566 is: 841,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,361 : 529,566 = 529,566 : x
  2. Step 2: Convert to fraction form
    333,361/529,566 = 529,566/x
  3. Step 3: Cross multiply
    333,361x = 529,566 × 529,566
  4. Step 4: Simplify right side
    333,361x = 280,440,148,356
  5. Step 5: Solve for x
    x = 280,440,148,356/333,361
  6. Step 6: Final answer
    x = 841,250.62

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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.