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Finding the Third Proportional to 525,595.50 and 751,603.50

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Solution

The third proportional to 525,595.50 and 751,603.50 is: 1,074,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,595.50 : 751,603.50 = 751,603.50 : x
  2. Step 2: Convert to fraction form
    525,595.50/751,603.50 = 751,603.50/x
  3. Step 3: Cross multiply
    525,595.50x = 751,603.50 × 751,603.50
  4. Step 4: Simplify right side
    525,595.50x = 564,907,821,212.25
  5. Step 5: Solve for x
    x = 564,907,821,212.25/525,595.50
  6. Step 6: Final answer
    x = 1,074,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.