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Finding the Third Proportional to 330,560 and 525,376

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Solution

The third proportional to 330,560 and 525,376 is: 835,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,560 : 525,376 = 525,376 : x
  2. Step 2: Convert to fraction form
    330,560/525,376 = 525,376/x
  3. Step 3: Cross multiply
    330,560x = 525,376 × 525,376
  4. Step 4: Simplify right side
    330,560x = 276,019,941,376
  5. Step 5: Solve for x
    x = 276,019,941,376/330,560
  6. Step 6: Final answer
    x = 835,007.08

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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.