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Finding the Third Proportional to 289,930 and 443,506

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Solution

The third proportional to 289,930 and 443,506 is: 678,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930 : 443,506 = 443,506 : x
  2. Step 2: Convert to fraction form
    289,930/443,506 = 443,506/x
  3. Step 3: Cross multiply
    289,930x = 443,506 × 443,506
  4. Step 4: Simplify right side
    289,930x = 196,697,572,036
  5. Step 5: Solve for x
    x = 196,697,572,036/289,930
  6. Step 6: Final answer
    x = 678,431.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.