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Finding the Third Proportional to 288,892.50 and 617,848.50

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Solution

The third proportional to 288,892.50 and 617,848.50 is: 1,321,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,892.50 : 617,848.50 = 617,848.50 : x
  2. Step 2: Convert to fraction form
    288,892.50/617,848.50 = 617,848.50/x
  3. Step 3: Cross multiply
    288,892.50x = 617,848.50 × 617,848.50
  4. Step 4: Simplify right side
    288,892.50x = 381,736,768,952.25
  5. Step 5: Solve for x
    x = 381,736,768,952.25/288,892.50
  6. Step 6: Final answer
    x = 1,321,379.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.