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Finding the Third Proportional to 243,126.56 and 523,705.50

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Solution

The third proportional to 243,126.56 and 523,705.50 is: 1,128,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,126.56 : 523,705.50 = 523,705.50 : x
  2. Step 2: Convert to fraction form
    243,126.56/523,705.50 = 523,705.50/x
  3. Step 3: Cross multiply
    243,126.56x = 523,705.50 × 523,705.50
  4. Step 4: Simplify right side
    243,126.56x = 274,267,450,730.25
  5. Step 5: Solve for x
    x = 274,267,450,730.25/243,126.56
  6. Step 6: Final answer
    x = 1,128,085.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.