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Finding the Third Proportional to 291,264 and 452,442

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Solution

The third proportional to 291,264 and 452,442 is: 702,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264 : 452,442 = 452,442 : x
  2. Step 2: Convert to fraction form
    291,264/452,442 = 452,442/x
  3. Step 3: Cross multiply
    291,264x = 452,442 × 452,442
  4. Step 4: Simplify right side
    291,264x = 204,703,763,364
  5. Step 5: Solve for x
    x = 204,703,763,364/291,264
  6. Step 6: Final answer
    x = 702,811.76

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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.