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Finding the Third Proportional to 351,066 and 514,102

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Solution

The third proportional to 351,066 and 514,102 is: 752,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,066 : 514,102 = 514,102 : x
  2. Step 2: Convert to fraction form
    351,066/514,102 = 514,102/x
  3. Step 3: Cross multiply
    351,066x = 514,102 × 514,102
  4. Step 4: Simplify right side
    351,066x = 264,300,866,404
  5. Step 5: Solve for x
    x = 264,300,866,404/351,066
  6. Step 6: Final answer
    x = 752,852.36

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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.