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Finding the Third Proportional to 320,881.50 and 617,098.50

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Solution

The third proportional to 320,881.50 and 617,098.50 is: 1,186,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,881.50 : 617,098.50 = 617,098.50 : x
  2. Step 2: Convert to fraction form
    320,881.50/617,098.50 = 617,098.50/x
  3. Step 3: Cross multiply
    320,881.50x = 617,098.50 × 617,098.50
  4. Step 4: Simplify right side
    320,881.50x = 380,810,558,702.25
  5. Step 5: Solve for x
    x = 380,810,558,702.25/320,881.50
  6. Step 6: Final answer
    x = 1,186,763.83

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.