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Finding the Third Proportional to 290,212.88 and 439,700.91

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Solution

The third proportional to 290,212.88 and 439,700.91 is: 666,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,212.88 : 439,700.91 = 439,700.91 : x
  2. Step 2: Convert to fraction form
    290,212.88/439,700.91 = 439,700.91/x
  3. Step 3: Cross multiply
    290,212.88x = 439,700.91 × 439,700.91
  4. Step 4: Simplify right side
    290,212.88x = 193,336,886,957.07
  5. Step 5: Solve for x
    x = 193,336,886,957.07/290,212.88
  6. Step 6: Final answer
    x = 666,189.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.