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Finding the Third Proportional to 331,152 and 524,590

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Solution

The third proportional to 331,152 and 524,590 is: 831,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,152 : 524,590 = 524,590 : x
  2. Step 2: Convert to fraction form
    331,152/524,590 = 524,590/x
  3. Step 3: Cross multiply
    331,152x = 524,590 × 524,590
  4. Step 4: Simplify right side
    331,152x = 275,194,668,100
  5. Step 5: Solve for x
    x = 275,194,668,100/331,152
  6. Step 6: Final answer
    x = 831,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.