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Finding the Third Proportional to 406,059.75 and 884,290.50

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Solution

The third proportional to 406,059.75 and 884,290.50 is: 1,925,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,059.75 : 884,290.50 = 884,290.50 : x
  2. Step 2: Convert to fraction form
    406,059.75/884,290.50 = 884,290.50/x
  3. Step 3: Cross multiply
    406,059.75x = 884,290.50 × 884,290.50
  4. Step 4: Simplify right side
    406,059.75x = 781,969,688,390.25
  5. Step 5: Solve for x
    x = 781,969,688,390.25/406,059.75
  6. Step 6: Final answer
    x = 1,925,750.31

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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.