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Finding the Third Proportional to 508,725.56 and 1,059,312.94

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Solution

The third proportional to 508,725.56 and 1,059,312.94 is: 2,205,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,725.56 : 1,059,312.94 = 1,059,312.94 : x
  2. Step 2: Convert to fraction form
    508,725.56/1,059,312.94 = 1,059,312.94/x
  3. Step 3: Cross multiply
    508,725.56x = 1,059,312.94 × 1,059,312.94
  4. Step 4: Simplify right side
    508,725.56x = 1,122,143,899,554.88
  5. Step 5: Solve for x
    x = 1,122,143,899,554.88/508,725.56
  6. Step 6: Final answer
    x = 2,205,794.21

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.