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Finding the Third Proportional to 350,078 and 712,996

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Solution

The third proportional to 350,078 and 712,996 is: 1,452,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,078 : 712,996 = 712,996 : x
  2. Step 2: Convert to fraction form
    350,078/712,996 = 712,996/x
  3. Step 3: Cross multiply
    350,078x = 712,996 × 712,996
  4. Step 4: Simplify right side
    350,078x = 508,363,296,016
  5. Step 5: Solve for x
    x = 508,363,296,016/350,078
  6. Step 6: Final answer
    x = 1,452,142.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.