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Finding the Third Proportional to 337,970 and 738,265

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Solution

The third proportional to 337,970 and 738,265 is: 1,612,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,970 : 738,265 = 738,265 : x
  2. Step 2: Convert to fraction form
    337,970/738,265 = 738,265/x
  3. Step 3: Cross multiply
    337,970x = 738,265 × 738,265
  4. Step 4: Simplify right side
    337,970x = 545,035,210,225
  5. Step 5: Solve for x
    x = 545,035,210,225/337,970
  6. Step 6: Final answer
    x = 1,612,673.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.