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Finding the Third Proportional to 411,552 and 867,937.50

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Solution

The third proportional to 411,552 and 867,937.50 is: 1,830,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,552 : 867,937.50 = 867,937.50 : x
  2. Step 2: Convert to fraction form
    411,552/867,937.50 = 867,937.50/x
  3. Step 3: Cross multiply
    411,552x = 867,937.50 × 867,937.50
  4. Step 4: Simplify right side
    411,552x = 753,315,503,906.25
  5. Step 5: Solve for x
    x = 753,315,503,906.25/411,552
  6. Step 6: Final answer
    x = 1,830,426.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.