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Finding the Third Proportional to 451,929.38 and 619,695.56

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Solution

The third proportional to 451,929.38 and 619,695.56 is: 849,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,929.38 : 619,695.56 = 619,695.56 : x
  2. Step 2: Convert to fraction form
    451,929.38/619,695.56 = 619,695.56/x
  3. Step 3: Cross multiply
    451,929.38x = 619,695.56 × 619,695.56
  4. Step 4: Simplify right side
    451,929.38x = 384,022,590,182.19
  5. Step 5: Solve for x
    x = 384,022,590,182.19/451,929.38
  6. Step 6: Final answer
    x = 849,740.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.