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Finding the Third Proportional to 291,375 and 450,002.25

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Solution

The third proportional to 291,375 and 450,002.25 is: 694,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,375 : 450,002.25 = 450,002.25 : x
  2. Step 2: Convert to fraction form
    291,375/450,002.25 = 450,002.25/x
  3. Step 3: Cross multiply
    291,375x = 450,002.25 × 450,002.25
  4. Step 4: Simplify right side
    291,375x = 202,502,025,005.06
  5. Step 5: Solve for x
    x = 202,502,025,005.06/291,375
  6. Step 6: Final answer
    x = 694,987.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.