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Finding the Third Proportional to 337,383 and 508,297.50

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Solution

The third proportional to 337,383 and 508,297.50 is: 765,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,383 : 508,297.50 = 508,297.50 : x
  2. Step 2: Convert to fraction form
    337,383/508,297.50 = 508,297.50/x
  3. Step 3: Cross multiply
    337,383x = 508,297.50 × 508,297.50
  4. Step 4: Simplify right side
    337,383x = 258,366,348,506.25
  5. Step 5: Solve for x
    x = 258,366,348,506.25/337,383
  6. Step 6: Final answer
    x = 765,795.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.