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Finding the Third Proportional to 293,754 and 439,516

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Solution

The third proportional to 293,754 and 439,516 is: 657,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,754 : 439,516 = 439,516 : x
  2. Step 2: Convert to fraction form
    293,754/439,516 = 439,516/x
  3. Step 3: Cross multiply
    293,754x = 439,516 × 439,516
  4. Step 4: Simplify right side
    293,754x = 193,174,314,256
  5. Step 5: Solve for x
    x = 193,174,314,256/293,754
  6. Step 6: Final answer
    x = 657,605.73

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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.