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Finding the Third Proportional to 243,064.13 and 530,003.25

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Solution

The third proportional to 243,064.13 and 530,003.25 is: 1,155,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,064.13 : 530,003.25 = 530,003.25 : x
  2. Step 2: Convert to fraction form
    243,064.13/530,003.25 = 530,003.25/x
  3. Step 3: Cross multiply
    243,064.13x = 530,003.25 × 530,003.25
  4. Step 4: Simplify right side
    243,064.13x = 280,903,445,010.56
  5. Step 5: Solve for x
    x = 280,903,445,010.56/243,064.13
  6. Step 6: Final answer
    x = 1,155,676.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.