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Finding the Third Proportional to 337,238 and 714,004

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Solution

The third proportional to 337,238 and 714,004 is: 1,511,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,238 : 714,004 = 714,004 : x
  2. Step 2: Convert to fraction form
    337,238/714,004 = 714,004/x
  3. Step 3: Cross multiply
    337,238x = 714,004 × 714,004
  4. Step 4: Simplify right side
    337,238x = 509,801,712,016
  5. Step 5: Solve for x
    x = 509,801,712,016/337,238
  6. Step 6: Final answer
    x = 1,511,697.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.