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Finding the Third Proportional to 406,231 and 880,258.50

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Solution

The third proportional to 406,231 and 880,258.50 is: 1,907,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,231 : 880,258.50 = 880,258.50 : x
  2. Step 2: Convert to fraction form
    406,231/880,258.50 = 880,258.50/x
  3. Step 3: Cross multiply
    406,231x = 880,258.50 × 880,258.50
  4. Step 4: Simplify right side
    406,231x = 774,855,026,822.25
  5. Step 5: Solve for x
    x = 774,855,026,822.25/406,231
  6. Step 6: Final answer
    x = 1,907,424.66

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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.