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Finding the Third Proportional to 466,357.50 and 996,705

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Solution

The third proportional to 466,357.50 and 996,705 is: 2,130,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,357.50 : 996,705 = 996,705 : x
  2. Step 2: Convert to fraction form
    466,357.50/996,705 = 996,705/x
  3. Step 3: Cross multiply
    466,357.50x = 996,705 × 996,705
  4. Step 4: Simplify right side
    466,357.50x = 993,420,857,025
  5. Step 5: Solve for x
    x = 993,420,857,025/466,357.50
  6. Step 6: Final answer
    x = 2,130,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.