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Finding the Third Proportional to 262,394 and 543,460

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Solution

The third proportional to 262,394 and 543,460 is: 1,125,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,394 : 543,460 = 543,460 : x
  2. Step 2: Convert to fraction form
    262,394/543,460 = 543,460/x
  3. Step 3: Cross multiply
    262,394x = 543,460 × 543,460
  4. Step 4: Simplify right side
    262,394x = 295,348,771,600
  5. Step 5: Solve for x
    x = 295,348,771,600/262,394
  6. Step 6: Final answer
    x = 1,125,592.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.