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Finding the Third Proportional to 423,197 and 574,105.50

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Solution

The third proportional to 423,197 and 574,105.50 is: 778,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,197 : 574,105.50 = 574,105.50 : x
  2. Step 2: Convert to fraction form
    423,197/574,105.50 = 574,105.50/x
  3. Step 3: Cross multiply
    423,197x = 574,105.50 × 574,105.50
  4. Step 4: Simplify right side
    423,197x = 329,597,125,130.25
  5. Step 5: Solve for x
    x = 329,597,125,130.25/423,197
  6. Step 6: Final answer
    x = 778,826.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.