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Finding the Third Proportional to 390,203.58 and 851,129.65

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Solution

The third proportional to 390,203.58 and 851,129.65 is: 1,856,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,203.58 : 851,129.65 = 851,129.65 : x
  2. Step 2: Convert to fraction form
    390,203.58/851,129.65 = 851,129.65/x
  3. Step 3: Cross multiply
    390,203.58x = 851,129.65 × 851,129.65
  4. Step 4: Simplify right side
    390,203.58x = 724,421,678,449.34
  5. Step 5: Solve for x
    x = 724,421,678,449.34/390,203.58
  6. Step 6: Final answer
    x = 1,856,522.39

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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.