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Finding the Third Proportional to 724,365 and 1,102,153.50

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Solution

The third proportional to 724,365 and 1,102,153.50 is: 1,676,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,365 : 1,102,153.50 = 1,102,153.50 : x
  2. Step 2: Convert to fraction form
    724,365/1,102,153.50 = 1,102,153.50/x
  3. Step 3: Cross multiply
    724,365x = 1,102,153.50 × 1,102,153.50
  4. Step 4: Simplify right side
    724,365x = 1,214,742,337,562.25
  5. Step 5: Solve for x
    x = 1,214,742,337,562.25/724,365
  6. Step 6: Final answer
    x = 1,676,975.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.