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Finding the Third Proportional to 342,319.50 and 500,802.75

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Solution

The third proportional to 342,319.50 and 500,802.75 is: 732,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,319.50 : 500,802.75 = 500,802.75 : x
  2. Step 2: Convert to fraction form
    342,319.50/500,802.75 = 500,802.75/x
  3. Step 3: Cross multiply
    342,319.50x = 500,802.75 × 500,802.75
  4. Step 4: Simplify right side
    342,319.50x = 250,803,394,407.56
  5. Step 5: Solve for x
    x = 250,803,394,407.56/342,319.50
  6. Step 6: Final answer
    x = 732,658.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.