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Finding the Third Proportional to 480,658.50 and 724,668.75

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Solution

The third proportional to 480,658.50 and 724,668.75 is: 1,092,552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,658.50 : 724,668.75 = 724,668.75 : x
  2. Step 2: Convert to fraction form
    480,658.50/724,668.75 = 724,668.75/x
  3. Step 3: Cross multiply
    480,658.50x = 724,668.75 × 724,668.75
  4. Step 4: Simplify right side
    480,658.50x = 525,144,797,226.56
  5. Step 5: Solve for x
    x = 525,144,797,226.56/480,658.50
  6. Step 6: Final answer
    x = 1,092,552.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.