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Finding the Third Proportional to 330,470 and 525,306

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Solution

The third proportional to 330,470 and 525,306 is: 835,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,470 : 525,306 = 525,306 : x
  2. Step 2: Convert to fraction form
    330,470/525,306 = 525,306/x
  3. Step 3: Cross multiply
    330,470x = 525,306 × 525,306
  4. Step 4: Simplify right side
    330,470x = 275,946,393,636
  5. Step 5: Solve for x
    x = 275,946,393,636/330,470
  6. Step 6: Final answer
    x = 835,011.93

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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.