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Finding the Third Proportional to 525,543 and 811,603.50

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Solution

The third proportional to 525,543 and 811,603.50 is: 1,253,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,543 : 811,603.50 = 811,603.50 : x
  2. Step 2: Convert to fraction form
    525,543/811,603.50 = 811,603.50/x
  3. Step 3: Cross multiply
    525,543x = 811,603.50 × 811,603.50
  4. Step 4: Simplify right side
    525,543x = 658,700,241,212.25
  5. Step 5: Solve for x
    x = 658,700,241,212.25/525,543
  6. Step 6: Final answer
    x = 1,253,370.78

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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.