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Finding the Third Proportional to 424,804.50 and 593,942.63

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Solution

The third proportional to 424,804.50 and 593,942.63 is: 830,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,804.50 : 593,942.63 = 593,942.63 : x
  2. Step 2: Convert to fraction form
    424,804.50/593,942.63 = 593,942.63/x
  3. Step 3: Cross multiply
    424,804.50x = 593,942.63 × 593,942.63
  4. Step 4: Simplify right side
    424,804.50x = 352,767,841,791.89
  5. Step 5: Solve for x
    x = 352,767,841,791.89/424,804.50
  6. Step 6: Final answer
    x = 830,423.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.