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Finding the Third Proportional to 296,105.63 and 476,862.75

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Solution

The third proportional to 296,105.63 and 476,862.75 is: 767,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,105.63 : 476,862.75 = 476,862.75 : x
  2. Step 2: Convert to fraction form
    296,105.63/476,862.75 = 476,862.75/x
  3. Step 3: Cross multiply
    296,105.63x = 476,862.75 × 476,862.75
  4. Step 4: Simplify right side
    296,105.63x = 227,398,082,337.56
  5. Step 5: Solve for x
    x = 227,398,082,337.56/296,105.63
  6. Step 6: Final answer
    x = 767,962.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.