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Finding the Third Proportional to 324,924.75 and 712,624.50

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Solution

The third proportional to 324,924.75 and 712,624.50 is: 1,562,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,924.75 : 712,624.50 = 712,624.50 : x
  2. Step 2: Convert to fraction form
    324,924.75/712,624.50 = 712,624.50/x
  3. Step 3: Cross multiply
    324,924.75x = 712,624.50 × 712,624.50
  4. Step 4: Simplify right side
    324,924.75x = 507,833,678,000.25
  5. Step 5: Solve for x
    x = 507,833,678,000.25/324,924.75
  6. Step 6: Final answer
    x = 1,562,927.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.