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Finding the Third Proportional to 299,710.13 and 476,128.13

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Solution

The third proportional to 299,710.13 and 476,128.13 is: 756,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,710.13 : 476,128.13 = 476,128.13 : x
  2. Step 2: Convert to fraction form
    299,710.13/476,128.13 = 476,128.13/x
  3. Step 3: Cross multiply
    299,710.13x = 476,128.13 × 476,128.13
  4. Step 4: Simplify right side
    299,710.13x = 226,697,991,416.02
  5. Step 5: Solve for x
    x = 226,697,991,416.02/299,710.13
  6. Step 6: Final answer
    x = 756,390.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.