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Finding the Third Proportional to 497,665.50 and 670,466.25

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Solution

The third proportional to 497,665.50 and 670,466.25 is: 903,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665.50 : 670,466.25 = 670,466.25 : x
  2. Step 2: Convert to fraction form
    497,665.50/670,466.25 = 670,466.25/x
  3. Step 3: Cross multiply
    497,665.50x = 670,466.25 × 670,466.25
  4. Step 4: Simplify right side
    497,665.50x = 449,524,992,389.06
  5. Step 5: Solve for x
    x = 449,524,992,389.06/497,665.50
  6. Step 6: Final answer
    x = 903,267.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.