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Finding the Third Proportional to 194,506 and 450,559

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Solution

The third proportional to 194,506 and 450,559 is: 1,043,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506 : 450,559 = 450,559 : x
  2. Step 2: Convert to fraction form
    194,506/450,559 = 450,559/x
  3. Step 3: Cross multiply
    194,506x = 450,559 × 450,559
  4. Step 4: Simplify right side
    194,506x = 203,003,412,481
  5. Step 5: Solve for x
    x = 203,003,412,481/194,506
  6. Step 6: Final answer
    x = 1,043,687.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.