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Finding the Third Proportional to 452,264 and 703,294

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Solution

The third proportional to 452,264 and 703,294 is: 1,093,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,264 : 703,294 = 703,294 : x
  2. Step 2: Convert to fraction form
    452,264/703,294 = 703,294/x
  3. Step 3: Cross multiply
    452,264x = 703,294 × 703,294
  4. Step 4: Simplify right side
    452,264x = 494,622,450,436
  5. Step 5: Solve for x
    x = 494,622,450,436/452,264
  6. Step 6: Final answer
    x = 1,093,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.