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Finding the Third Proportional to 567,640.50 and 946,030.50

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Solution

The third proportional to 567,640.50 and 946,030.50 is: 1,576,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,640.50 : 946,030.50 = 946,030.50 : x
  2. Step 2: Convert to fraction form
    567,640.50/946,030.50 = 946,030.50/x
  3. Step 3: Cross multiply
    567,640.50x = 946,030.50 × 946,030.50
  4. Step 4: Simplify right side
    567,640.50x = 894,973,706,930.25
  5. Step 5: Solve for x
    x = 894,973,706,930.25/567,640.50
  6. Step 6: Final answer
    x = 1,576,655.84

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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.