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Finding the Third Proportional to 185,388 and 406,870.50

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Solution

The third proportional to 185,388 and 406,870.50 is: 892,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,388 : 406,870.50 = 406,870.50 : x
  2. Step 2: Convert to fraction form
    185,388/406,870.50 = 406,870.50/x
  3. Step 3: Cross multiply
    185,388x = 406,870.50 × 406,870.50
  4. Step 4: Simplify right side
    185,388x = 165,543,603,770.25
  5. Step 5: Solve for x
    x = 165,543,603,770.25/185,388
  6. Step 6: Final answer
    x = 892,957.49

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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.