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Finding the Third Proportional to 451,630.69 and 619,288.88

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Solution

The third proportional to 451,630.69 and 619,288.88 is: 849,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,630.69 : 619,288.88 = 619,288.88 : x
  2. Step 2: Convert to fraction form
    451,630.69/619,288.88 = 619,288.88/x
  3. Step 3: Cross multiply
    451,630.69x = 619,288.88 × 619,288.88
  4. Step 4: Simplify right side
    451,630.69x = 383,518,710,698.77
  5. Step 5: Solve for x
    x = 383,518,710,698.77/451,630.69
  6. Step 6: Final answer
    x = 849,186.56

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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.