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Finding the Third Proportional to 245,044.13 and 530,812.13

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Solution

The third proportional to 245,044.13 and 530,812.13 is: 1,149,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,044.13 : 530,812.13 = 530,812.13 : x
  2. Step 2: Convert to fraction form
    245,044.13/530,812.13 = 530,812.13/x
  3. Step 3: Cross multiply
    245,044.13x = 530,812.13 × 530,812.13
  4. Step 4: Simplify right side
    245,044.13x = 281,761,512,047.02
  5. Step 5: Solve for x
    x = 281,761,512,047.02/245,044.13
  6. Step 6: Final answer
    x = 1,149,839.90

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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.