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Finding the Third Proportional to 567,640.13 and 946,029.94

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Solution

The third proportional to 567,640.13 and 946,029.94 is: 1,576,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,640.13 : 946,029.94 = 946,029.94 : x
  2. Step 2: Convert to fraction form
    567,640.13/946,029.94 = 946,029.94/x
  3. Step 3: Cross multiply
    567,640.13x = 946,029.94 × 946,029.94
  4. Step 4: Simplify right side
    567,640.13x = 894,972,642,646.25
  5. Step 5: Solve for x
    x = 894,972,642,646.25/567,640.13
  6. Step 6: Final answer
    x = 1,576,655.00

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