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Finding the Third Proportional to 293,937.50 and 439,763

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Solution

The third proportional to 293,937.50 and 439,763 is: 657,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,937.50 : 439,763 = 439,763 : x
  2. Step 2: Convert to fraction form
    293,937.50/439,763 = 439,763/x
  3. Step 3: Cross multiply
    293,937.50x = 439,763 × 439,763
  4. Step 4: Simplify right side
    293,937.50x = 193,391,496,169
  5. Step 5: Solve for x
    x = 193,391,496,169/293,937.50
  6. Step 6: Final answer
    x = 657,934.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.