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Finding the Third Proportional to 406,725 and 885,832.50

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Solution

The third proportional to 406,725 and 885,832.50 is: 1,929,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,725 : 885,832.50 = 885,832.50 : x
  2. Step 2: Convert to fraction form
    406,725/885,832.50 = 885,832.50/x
  3. Step 3: Cross multiply
    406,725x = 885,832.50 × 885,832.50
  4. Step 4: Simplify right side
    406,725x = 784,699,218,056.25
  5. Step 5: Solve for x
    x = 784,699,218,056.25/406,725
  6. Step 6: Final answer
    x = 1,929,311.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.