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Finding the Third Proportional to 472,792.50 and 717,932.25

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Solution

The third proportional to 472,792.50 and 717,932.25 is: 1,090,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,792.50 : 717,932.25 = 717,932.25 : x
  2. Step 2: Convert to fraction form
    472,792.50/717,932.25 = 717,932.25/x
  3. Step 3: Cross multiply
    472,792.50x = 717,932.25 × 717,932.25
  4. Step 4: Simplify right side
    472,792.50x = 515,426,715,590.06
  5. Step 5: Solve for x
    x = 515,426,715,590.06/472,792.50
  6. Step 6: Final answer
    x = 1,090,175.32

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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.