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Finding the Third Proportional to 295,582.50 and 635,512.50

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Solution

The third proportional to 295,582.50 and 635,512.50 is: 1,366,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,582.50 : 635,512.50 = 635,512.50 : x
  2. Step 2: Convert to fraction form
    295,582.50/635,512.50 = 635,512.50/x
  3. Step 3: Cross multiply
    295,582.50x = 635,512.50 × 635,512.50
  4. Step 4: Simplify right side
    295,582.50x = 403,876,137,656.25
  5. Step 5: Solve for x
    x = 403,876,137,656.25/295,582.50
  6. Step 6: Final answer
    x = 1,366,373.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.