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Finding the Third Proportional to 234,564 and 512,140

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Solution

The third proportional to 234,564 and 512,140 is: 1,118,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,564 : 512,140 = 512,140 : x
  2. Step 2: Convert to fraction form
    234,564/512,140 = 512,140/x
  3. Step 3: Cross multiply
    234,564x = 512,140 × 512,140
  4. Step 4: Simplify right side
    234,564x = 262,287,379,600
  5. Step 5: Solve for x
    x = 262,287,379,600/234,564
  6. Step 6: Final answer
    x = 1,118,191.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.