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Finding the Third Proportional to 525,665.95 and 823,530.80

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Solution

The third proportional to 525,665.95 and 823,530.80 is: 1,290,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,665.95 : 823,530.80 = 823,530.80 : x
  2. Step 2: Convert to fraction form
    525,665.95/823,530.80 = 823,530.80/x
  3. Step 3: Cross multiply
    525,665.95x = 823,530.80 × 823,530.80
  4. Step 4: Simplify right side
    525,665.95x = 678,202,973,401.57
  5. Step 5: Solve for x
    x = 678,202,973,401.57/525,665.95
  6. Step 6: Final answer
    x = 1,290,178.62

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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.