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Finding the Third Proportional to 476,494.31 and 929,048.06

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Solution

The third proportional to 476,494.31 and 929,048.06 is: 1,811,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,494.31 : 929,048.06 = 929,048.06 : x
  2. Step 2: Convert to fraction form
    476,494.31/929,048.06 = 929,048.06/x
  3. Step 3: Cross multiply
    476,494.31x = 929,048.06 × 929,048.06
  4. Step 4: Simplify right side
    476,494.31x = 863,130,302,435.00
  5. Step 5: Solve for x
    x = 863,130,302,435.00/476,494.31
  6. Step 6: Final answer
    x = 1,811,417.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.