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Finding the Third Proportional to 451,300 and 960,558

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Solution

The third proportional to 451,300 and 960,558 is: 2,044,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,300 : 960,558 = 960,558 : x
  2. Step 2: Convert to fraction form
    451,300/960,558 = 960,558/x
  3. Step 3: Cross multiply
    451,300x = 960,558 × 960,558
  4. Step 4: Simplify right side
    451,300x = 922,671,671,364
  5. Step 5: Solve for x
    x = 922,671,671,364/451,300
  6. Step 6: Final answer
    x = 2,044,475.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.