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Finding the Third Proportional to 406,285.50 and 875,008.50

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Solution

The third proportional to 406,285.50 and 875,008.50 is: 1,884,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,285.50 : 875,008.50 = 875,008.50 : x
  2. Step 2: Convert to fraction form
    406,285.50/875,008.50 = 875,008.50/x
  3. Step 3: Cross multiply
    406,285.50x = 875,008.50 × 875,008.50
  4. Step 4: Simplify right side
    406,285.50x = 765,639,875,072.25
  5. Step 5: Solve for x
    x = 765,639,875,072.25/406,285.50
  6. Step 6: Final answer
    x = 1,884,487.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.