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Finding the Third Proportional to 525,220.88 and 823,051.13

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Solution

The third proportional to 525,220.88 and 823,051.13 is: 1,289,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,220.88 : 823,051.13 = 823,051.13 : x
  2. Step 2: Convert to fraction form
    525,220.88/823,051.13 = 823,051.13/x
  3. Step 3: Cross multiply
    525,220.88x = 823,051.13 × 823,051.13
  4. Step 4: Simplify right side
    525,220.88x = 677,413,154,363.77
  5. Step 5: Solve for x
    x = 677,413,154,363.77/525,220.88
  6. Step 6: Final answer
    x = 1,289,768.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.