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Finding the Third Proportional to 330,242 and 524,828

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Solution

The third proportional to 330,242 and 524,828 is: 834,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,242 : 524,828 = 524,828 : x
  2. Step 2: Convert to fraction form
    330,242/524,828 = 524,828/x
  3. Step 3: Cross multiply
    330,242x = 524,828 × 524,828
  4. Step 4: Simplify right side
    330,242x = 275,444,429,584
  5. Step 5: Solve for x
    x = 275,444,429,584/330,242
  6. Step 6: Final answer
    x = 834,068.44

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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.