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Finding the Third Proportional to 473,760 and 966,550.50

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Solution

The third proportional to 473,760 and 966,550.50 is: 1,971,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760 : 966,550.50 = 966,550.50 : x
  2. Step 2: Convert to fraction form
    473,760/966,550.50 = 966,550.50/x
  3. Step 3: Cross multiply
    473,760x = 966,550.50 × 966,550.50
  4. Step 4: Simplify right side
    473,760x = 934,219,869,050.25
  5. Step 5: Solve for x
    x = 934,219,869,050.25/473,760
  6. Step 6: Final answer
    x = 1,971,926.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.