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Finding the Third Proportional to 337,503 and 712,944

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Solution

The third proportional to 337,503 and 712,944 is: 1,506,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,503 : 712,944 = 712,944 : x
  2. Step 2: Convert to fraction form
    337,503/712,944 = 712,944/x
  3. Step 3: Cross multiply
    337,503x = 712,944 × 712,944
  4. Step 4: Simplify right side
    337,503x = 508,289,147,136
  5. Step 5: Solve for x
    x = 508,289,147,136/337,503
  6. Step 6: Final answer
    x = 1,506,028.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.