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Finding the Third Proportional to 644,004 and 946,309.50

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Solution

The third proportional to 644,004 and 946,309.50 is: 1,390,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,004 : 946,309.50 = 946,309.50 : x
  2. Step 2: Convert to fraction form
    644,004/946,309.50 = 946,309.50/x
  3. Step 3: Cross multiply
    644,004x = 946,309.50 × 946,309.50
  4. Step 4: Simplify right side
    644,004x = 895,501,669,790.25
  5. Step 5: Solve for x
    x = 895,501,669,790.25/644,004
  6. Step 6: Final answer
    x = 1,390,521.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.