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Finding the Third Proportional to 291,498 and 443,295

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Solution

The third proportional to 291,498 and 443,295 is: 674,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,498 : 443,295 = 443,295 : x
  2. Step 2: Convert to fraction form
    291,498/443,295 = 443,295/x
  3. Step 3: Cross multiply
    291,498x = 443,295 × 443,295
  4. Step 4: Simplify right side
    291,498x = 196,510,457,025
  5. Step 5: Solve for x
    x = 196,510,457,025/291,498
  6. Step 6: Final answer
    x = 674,139.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.