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Finding the Third Proportional to 436,517.50 and 964,807

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Solution

The third proportional to 436,517.50 and 964,807 is: 2,132,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,517.50 : 964,807 = 964,807 : x
  2. Step 2: Convert to fraction form
    436,517.50/964,807 = 964,807/x
  3. Step 3: Cross multiply
    436,517.50x = 964,807 × 964,807
  4. Step 4: Simplify right side
    436,517.50x = 930,852,547,249
  5. Step 5: Solve for x
    x = 930,852,547,249/436,517.50
  6. Step 6: Final answer
    x = 2,132,451.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.