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Finding the Third Proportional to 290,354.63 and 625,208.63

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Solution

The third proportional to 290,354.63 and 625,208.63 is: 1,346,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,354.63 : 625,208.63 = 625,208.63 : x
  2. Step 2: Convert to fraction form
    290,354.63/625,208.63 = 625,208.63/x
  3. Step 3: Cross multiply
    290,354.63x = 625,208.63 × 625,208.63
  4. Step 4: Simplify right side
    290,354.63x = 390,885,824,774.39
  5. Step 5: Solve for x
    x = 390,885,824,774.39/290,354.63
  6. Step 6: Final answer
    x = 1,346,235.92

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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.