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Finding the Third Proportional to 525,561.75 and 811,984.50

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Solution

The third proportional to 525,561.75 and 811,984.50 is: 1,254,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,561.75 : 811,984.50 = 811,984.50 : x
  2. Step 2: Convert to fraction form
    525,561.75/811,984.50 = 811,984.50/x
  3. Step 3: Cross multiply
    525,561.75x = 811,984.50 × 811,984.50
  4. Step 4: Simplify right side
    525,561.75x = 659,318,828,240.25
  5. Step 5: Solve for x
    x = 659,318,828,240.25/525,561.75
  6. Step 6: Final answer
    x = 1,254,503.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.