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Finding the Third Proportional to 281,280 and 606,543

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Solution

The third proportional to 281,280 and 606,543 is: 1,307,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,280 : 606,543 = 606,543 : x
  2. Step 2: Convert to fraction form
    281,280/606,543 = 606,543/x
  3. Step 3: Cross multiply
    281,280x = 606,543 × 606,543
  4. Step 4: Simplify right side
    281,280x = 367,894,410,849
  5. Step 5: Solve for x
    x = 367,894,410,849/281,280
  6. Step 6: Final answer
    x = 1,307,929.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.