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Finding the Third Proportional to 406,233 and 880,263.50

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Solution

The third proportional to 406,233 and 880,263.50 is: 1,907,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,233 : 880,263.50 = 880,263.50 : x
  2. Step 2: Convert to fraction form
    406,233/880,263.50 = 880,263.50/x
  3. Step 3: Cross multiply
    406,233x = 880,263.50 × 880,263.50
  4. Step 4: Simplify right side
    406,233x = 774,863,829,432.25
  5. Step 5: Solve for x
    x = 774,863,829,432.25/406,233
  6. Step 6: Final answer
    x = 1,907,436.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.