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Finding the Third Proportional to 382,624.59 and 553,112.72

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Solution

The third proportional to 382,624.59 and 553,112.72 is: 799,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,624.59 : 553,112.72 = 553,112.72 : x
  2. Step 2: Convert to fraction form
    382,624.59/553,112.72 = 553,112.72/x
  3. Step 3: Cross multiply
    382,624.59x = 553,112.72 × 553,112.72
  4. Step 4: Simplify right side
    382,624.59x = 305,933,679,643.02
  5. Step 5: Solve for x
    x = 305,933,679,643.02/382,624.59
  6. Step 6: Final answer
    x = 799,566.17

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.