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Finding the Third Proportional to 473,762 and 703,427

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Solution

The third proportional to 473,762 and 703,427 is: 1,044,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,762 : 703,427 = 703,427 : x
  2. Step 2: Convert to fraction form
    473,762/703,427 = 703,427/x
  3. Step 3: Cross multiply
    473,762x = 703,427 × 703,427
  4. Step 4: Simplify right side
    473,762x = 494,809,544,329
  5. Step 5: Solve for x
    x = 494,809,544,329/473,762
  6. Step 6: Final answer
    x = 1,044,426.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.