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Finding the Third Proportional to 611,923.50 and 860,202

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Solution

The third proportional to 611,923.50 and 860,202 is: 1,209,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,923.50 : 860,202 = 860,202 : x
  2. Step 2: Convert to fraction form
    611,923.50/860,202 = 860,202/x
  3. Step 3: Cross multiply
    611,923.50x = 860,202 × 860,202
  4. Step 4: Simplify right side
    611,923.50x = 739,947,480,804
  5. Step 5: Solve for x
    x = 739,947,480,804/611,923.50
  6. Step 6: Final answer
    x = 1,209,215.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.