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Finding the Third Proportional to 530,715.50 and 1,110,638.50

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Solution

The third proportional to 530,715.50 and 1,110,638.50 is: 2,324,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,715.50 : 1,110,638.50 = 1,110,638.50 : x
  2. Step 2: Convert to fraction form
    530,715.50/1,110,638.50 = 1,110,638.50/x
  3. Step 3: Cross multiply
    530,715.50x = 1,110,638.50 × 1,110,638.50
  4. Step 4: Simplify right side
    530,715.50x = 1,233,517,877,682.25
  5. Step 5: Solve for x
    x = 1,233,517,877,682.25/530,715.50
  6. Step 6: Final answer
    x = 2,324,254.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.