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Finding the Third Proportional to 281,506 and 436,543

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Solution

The third proportional to 281,506 and 436,543 is: 676,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,506 : 436,543 = 436,543 : x
  2. Step 2: Convert to fraction form
    281,506/436,543 = 436,543/x
  3. Step 3: Cross multiply
    281,506x = 436,543 × 436,543
  4. Step 4: Simplify right side
    281,506x = 190,569,790,849
  5. Step 5: Solve for x
    x = 190,569,790,849/281,506
  6. Step 6: Final answer
    x = 676,965.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.