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Finding the Third Proportional to 351,643.50 and 525,145.50

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Solution

The third proportional to 351,643.50 and 525,145.50 is: 784,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,643.50 : 525,145.50 = 525,145.50 : x
  2. Step 2: Convert to fraction form
    351,643.50/525,145.50 = 525,145.50/x
  3. Step 3: Cross multiply
    351,643.50x = 525,145.50 × 525,145.50
  4. Step 4: Simplify right side
    351,643.50x = 275,777,796,170.25
  5. Step 5: Solve for x
    x = 275,777,796,170.25/351,643.50
  6. Step 6: Final answer
    x = 784,253.93

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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.