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Finding the Third Proportional to 344,632.50 and 514,883.25

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Solution

The third proportional to 344,632.50 and 514,883.25 is: 769,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,632.50 : 514,883.25 = 514,883.25 : x
  2. Step 2: Convert to fraction form
    344,632.50/514,883.25 = 514,883.25/x
  3. Step 3: Cross multiply
    344,632.50x = 514,883.25 × 514,883.25
  4. Step 4: Simplify right side
    344,632.50x = 265,104,761,130.56
  5. Step 5: Solve for x
    x = 265,104,761,130.56/344,632.50
  6. Step 6: Final answer
    x = 769,239.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.