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Finding the Third Proportional to 357,703.25 and 756,814.50

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Solution

The third proportional to 357,703.25 and 756,814.50 is: 1,601,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,703.25 : 756,814.50 = 756,814.50 : x
  2. Step 2: Convert to fraction form
    357,703.25/756,814.50 = 756,814.50/x
  3. Step 3: Cross multiply
    357,703.25x = 756,814.50 × 756,814.50
  4. Step 4: Simplify right side
    357,703.25x = 572,768,187,410.25
  5. Step 5: Solve for x
    x = 572,768,187,410.25/357,703.25
  6. Step 6: Final answer
    x = 1,601,238.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.