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Finding the Third Proportional to 337,484 and 712,914

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Solution

The third proportional to 337,484 and 712,914 is: 1,505,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,484 : 712,914 = 712,914 : x
  2. Step 2: Convert to fraction form
    337,484/712,914 = 712,914/x
  3. Step 3: Cross multiply
    337,484x = 712,914 × 712,914
  4. Step 4: Simplify right side
    337,484x = 508,246,371,396
  5. Step 5: Solve for x
    x = 508,246,371,396/337,484
  6. Step 6: Final answer
    x = 1,505,986.57

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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.