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Finding the Third Proportional to 291,281 and 447,072

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Solution

The third proportional to 291,281 and 447,072 is: 686,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,281 : 447,072 = 447,072 : x
  2. Step 2: Convert to fraction form
    291,281/447,072 = 447,072/x
  3. Step 3: Cross multiply
    291,281x = 447,072 × 447,072
  4. Step 4: Simplify right side
    291,281x = 199,873,373,184
  5. Step 5: Solve for x
    x = 199,873,373,184/291,281
  6. Step 6: Final answer
    x = 686,187.47

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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.