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Finding the Third Proportional to 441,757.13 and 708,763.50

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Solution

The third proportional to 441,757.13 and 708,763.50 is: 1,137,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,757.13 : 708,763.50 = 708,763.50 : x
  2. Step 2: Convert to fraction form
    441,757.13/708,763.50 = 708,763.50/x
  3. Step 3: Cross multiply
    441,757.13x = 708,763.50 × 708,763.50
  4. Step 4: Simplify right side
    441,757.13x = 502,345,698,932.25
  5. Step 5: Solve for x
    x = 502,345,698,932.25/441,757.13
  6. Step 6: Final answer
    x = 1,137,153.59

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Why These Related Problems?

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