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Finding the Third Proportional to 472,981 and 734,383

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Solution

The third proportional to 472,981 and 734,383 is: 1,140,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,981 : 734,383 = 734,383 : x
  2. Step 2: Convert to fraction form
    472,981/734,383 = 734,383/x
  3. Step 3: Cross multiply
    472,981x = 734,383 × 734,383
  4. Step 4: Simplify right side
    472,981x = 539,318,390,689
  5. Step 5: Solve for x
    x = 539,318,390,689/472,981
  6. Step 6: Final answer
    x = 1,140,253.82

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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.