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Finding the Third Proportional to 291,026.25 and 633,312

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Solution

The third proportional to 291,026.25 and 633,312 is: 1,378,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,026.25 : 633,312 = 633,312 : x
  2. Step 2: Convert to fraction form
    291,026.25/633,312 = 633,312/x
  3. Step 3: Cross multiply
    291,026.25x = 633,312 × 633,312
  4. Step 4: Simplify right side
    291,026.25x = 401,084,089,344
  5. Step 5: Solve for x
    x = 401,084,089,344/291,026.25
  6. Step 6: Final answer
    x = 1,378,171.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.