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Finding the Third Proportional to 297,886.50 and 416,695.50

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Solution

The third proportional to 297,886.50 and 416,695.50 is: 582,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,886.50 : 416,695.50 = 416,695.50 : x
  2. Step 2: Convert to fraction form
    297,886.50/416,695.50 = 416,695.50/x
  3. Step 3: Cross multiply
    297,886.50x = 416,695.50 × 416,695.50
  4. Step 4: Simplify right side
    297,886.50x = 173,635,139,720.25
  5. Step 5: Solve for x
    x = 173,635,139,720.25/297,886.50
  6. Step 6: Final answer
    x = 582,890.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.