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Finding the Third Proportional to 212,041.13 and 460,883.25

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Solution

The third proportional to 212,041.13 and 460,883.25 is: 1,001,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,041.13 : 460,883.25 = 460,883.25 : x
  2. Step 2: Convert to fraction form
    212,041.13/460,883.25 = 460,883.25/x
  3. Step 3: Cross multiply
    212,041.13x = 460,883.25 × 460,883.25
  4. Step 4: Simplify right side
    212,041.13x = 212,413,370,130.56
  5. Step 5: Solve for x
    x = 212,413,370,130.56/212,041.13
  6. Step 6: Final answer
    x = 1,001,755.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.