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Finding the Third Proportional to 567,664 and 946,072

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Solution

The third proportional to 567,664 and 946,072 is: 1,576,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,664 : 946,072 = 946,072 : x
  2. Step 2: Convert to fraction form
    567,664/946,072 = 946,072/x
  3. Step 3: Cross multiply
    567,664x = 946,072 × 946,072
  4. Step 4: Simplify right side
    567,664x = 895,052,229,184
  5. Step 5: Solve for x
    x = 895,052,229,184/567,664
  6. Step 6: Final answer
    x = 1,576,728.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.