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Finding the Third Proportional to 558,029.81 and 785,832.75

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Solution

The third proportional to 558,029.81 and 785,832.75 is: 1,106,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,029.81 : 785,832.75 = 785,832.75 : x
  2. Step 2: Convert to fraction form
    558,029.81/785,832.75 = 785,832.75/x
  3. Step 3: Cross multiply
    558,029.81x = 785,832.75 × 785,832.75
  4. Step 4: Simplify right side
    558,029.81x = 617,533,110,972.56
  5. Step 5: Solve for x
    x = 617,533,110,972.56/558,029.81
  6. Step 6: Final answer
    x = 1,106,631.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.