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Finding the Third Proportional to 525,193.88 and 1,152,073.13

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Solution

The third proportional to 525,193.88 and 1,152,073.13 is: 2,527,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,193.88 : 1,152,073.13 = 1,152,073.13 : x
  2. Step 2: Convert to fraction form
    525,193.88/1,152,073.13 = 1,152,073.13/x
  3. Step 3: Cross multiply
    525,193.88x = 1,152,073.13 × 1,152,073.13
  4. Step 4: Simplify right side
    525,193.88x = 1,327,272,485,347.27
  5. Step 5: Solve for x
    x = 1,327,272,485,347.27/525,193.88
  6. Step 6: Final answer
    x = 2,527,204.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.