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Finding the Third Proportional to 330,724 and 525,624

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Solution

The third proportional to 330,724 and 525,624 is: 835,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,724 : 525,624 = 525,624 : x
  2. Step 2: Convert to fraction form
    330,724/525,624 = 525,624/x
  3. Step 3: Cross multiply
    330,724x = 525,624 × 525,624
  4. Step 4: Simplify right side
    330,724x = 276,280,589,376
  5. Step 5: Solve for x
    x = 276,280,589,376/330,724
  6. Step 6: Final answer
    x = 835,381.13

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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.