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Finding the Third Proportional to 644,182.50 and 946,590

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Solution

The third proportional to 644,182.50 and 946,590 is: 1,390,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,182.50 : 946,590 = 946,590 : x
  2. Step 2: Convert to fraction form
    644,182.50/946,590 = 946,590/x
  3. Step 3: Cross multiply
    644,182.50x = 946,590 × 946,590
  4. Step 4: Simplify right side
    644,182.50x = 896,032,628,100
  5. Step 5: Solve for x
    x = 896,032,628,100/644,182.50
  6. Step 6: Final answer
    x = 1,390,960.84

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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.