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Finding the Third Proportional to 452,800 and 663,156

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Solution

The third proportional to 452,800 and 663,156 is: 971,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,800 : 663,156 = 663,156 : x
  2. Step 2: Convert to fraction form
    452,800/663,156 = 663,156/x
  3. Step 3: Cross multiply
    452,800x = 663,156 × 663,156
  4. Step 4: Simplify right side
    452,800x = 439,775,880,336
  5. Step 5: Solve for x
    x = 439,775,880,336/452,800
  6. Step 6: Final answer
    x = 971,236.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.