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Finding the Third Proportional to 337,518 and 712,966

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Solution

The third proportional to 337,518 and 712,966 is: 1,506,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,518 : 712,966 = 712,966 : x
  2. Step 2: Convert to fraction form
    337,518/712,966 = 712,966/x
  3. Step 3: Cross multiply
    337,518x = 712,966 × 712,966
  4. Step 4: Simplify right side
    337,518x = 508,320,517,156
  5. Step 5: Solve for x
    x = 508,320,517,156/337,518
  6. Step 6: Final answer
    x = 1,506,054.54

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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.