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Finding the Third Proportional to 233,305.88 and 476,452.13

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Solution

The third proportional to 233,305.88 and 476,452.13 is: 973,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305.88 : 476,452.13 = 476,452.13 : x
  2. Step 2: Convert to fraction form
    233,305.88/476,452.13 = 476,452.13/x
  3. Step 3: Cross multiply
    233,305.88x = 476,452.13 × 476,452.13
  4. Step 4: Simplify right side
    233,305.88x = 227,006,627,417.02
  5. Step 5: Solve for x
    x = 227,006,627,417.02/233,305.88
  6. Step 6: Final answer
    x = 973,000.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.