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Finding the Third Proportional to 724,297.50 and 1,146,636

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Solution

The third proportional to 724,297.50 and 1,146,636 is: 1,815,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,297.50 : 1,146,636 = 1,146,636 : x
  2. Step 2: Convert to fraction form
    724,297.50/1,146,636 = 1,146,636/x
  3. Step 3: Cross multiply
    724,297.50x = 1,146,636 × 1,146,636
  4. Step 4: Simplify right side
    724,297.50x = 1,314,774,116,496
  5. Step 5: Solve for x
    x = 1,314,774,116,496/724,297.50
  6. Step 6: Final answer
    x = 1,815,240.45

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.