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Finding the Third Proportional to 473,216 and 733,152

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Solution

The third proportional to 473,216 and 733,152 is: 1,135,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,216 : 733,152 = 733,152 : x
  2. Step 2: Convert to fraction form
    473,216/733,152 = 733,152/x
  3. Step 3: Cross multiply
    473,216x = 733,152 × 733,152
  4. Step 4: Simplify right side
    473,216x = 537,511,855,104
  5. Step 5: Solve for x
    x = 537,511,855,104/473,216
  6. Step 6: Final answer
    x = 1,135,869.99

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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.