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Finding the Third Proportional to 343,140.75 and 524,916

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Solution

The third proportional to 343,140.75 and 524,916 is: 802,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,140.75 : 524,916 = 524,916 : x
  2. Step 2: Convert to fraction form
    343,140.75/524,916 = 524,916/x
  3. Step 3: Cross multiply
    343,140.75x = 524,916 × 524,916
  4. Step 4: Simplify right side
    343,140.75x = 275,536,807,056
  5. Step 5: Solve for x
    x = 275,536,807,056/343,140.75
  6. Step 6: Final answer
    x = 802,984.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.