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Finding the Third Proportional to 446,209.50 and 870,000

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Solution

The third proportional to 446,209.50 and 870,000 is: 1,696,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,209.50 : 870,000 = 870,000 : x
  2. Step 2: Convert to fraction form
    446,209.50/870,000 = 870,000/x
  3. Step 3: Cross multiply
    446,209.50x = 870,000 × 870,000
  4. Step 4: Simplify right side
    446,209.50x = 756,900,000,000
  5. Step 5: Solve for x
    x = 756,900,000,000/446,209.50
  6. Step 6: Final answer
    x = 1,696,288.40

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.