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Finding the Third Proportional to 476,731.83 and 706,850.93

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Solution

The third proportional to 476,731.83 and 706,850.93 is: 1,048,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,731.83 : 706,850.93 = 706,850.93 : x
  2. Step 2: Convert to fraction form
    476,731.83/706,850.93 = 706,850.93/x
  3. Step 3: Cross multiply
    476,731.83x = 706,850.93 × 706,850.93
  4. Step 4: Simplify right side
    476,731.83x = 499,638,236,800.08
  5. Step 5: Solve for x
    x = 499,638,236,800.08/476,731.83
  6. Step 6: Final answer
    x = 1,048,048.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.