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Finding the Third Proportional to 337,306.50 and 512,866.50

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Solution

The third proportional to 337,306.50 and 512,866.50 is: 779,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,306.50 : 512,866.50 = 512,866.50 : x
  2. Step 2: Convert to fraction form
    337,306.50/512,866.50 = 512,866.50/x
  3. Step 3: Cross multiply
    337,306.50x = 512,866.50 × 512,866.50
  4. Step 4: Simplify right side
    337,306.50x = 263,032,046,822.25
  5. Step 5: Solve for x
    x = 263,032,046,822.25/337,306.50
  6. Step 6: Final answer
    x = 779,801.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.