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Finding the Third Proportional to 420,592.50 and 893,764.13

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Solution

The third proportional to 420,592.50 and 893,764.13 is: 1,899,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,592.50 : 893,764.13 = 893,764.13 : x
  2. Step 2: Convert to fraction form
    420,592.50/893,764.13 = 893,764.13/x
  3. Step 3: Cross multiply
    420,592.50x = 893,764.13 × 893,764.13
  4. Step 4: Simplify right side
    420,592.50x = 798,814,311,137.02
  5. Step 5: Solve for x
    x = 798,814,311,137.02/420,592.50
  6. Step 6: Final answer
    x = 1,899,259.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.