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Finding the Third Proportional to 441,760.50 and 708,768

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Solution

The third proportional to 441,760.50 and 708,768 is: 1,137,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,760.50 : 708,768 = 708,768 : x
  2. Step 2: Convert to fraction form
    441,760.50/708,768 = 708,768/x
  3. Step 3: Cross multiply
    441,760.50x = 708,768 × 708,768
  4. Step 4: Simplify right side
    441,760.50x = 502,352,077,824
  5. Step 5: Solve for x
    x = 502,352,077,824/441,760.50
  6. Step 6: Final answer
    x = 1,137,159.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.