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Finding the Third Proportional to 474,444 and 753,894

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Solution

The third proportional to 474,444 and 753,894 is: 1,197,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,444 : 753,894 = 753,894 : x
  2. Step 2: Convert to fraction form
    474,444/753,894 = 753,894/x
  3. Step 3: Cross multiply
    474,444x = 753,894 × 753,894
  4. Step 4: Simplify right side
    474,444x = 568,356,163,236
  5. Step 5: Solve for x
    x = 568,356,163,236/474,444
  6. Step 6: Final answer
    x = 1,197,941.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.