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Finding the Third Proportional to 520,578.50 and 1,055,646

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Solution

The third proportional to 520,578.50 and 1,055,646 is: 2,140,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,578.50 : 1,055,646 = 1,055,646 : x
  2. Step 2: Convert to fraction form
    520,578.50/1,055,646 = 1,055,646/x
  3. Step 3: Cross multiply
    520,578.50x = 1,055,646 × 1,055,646
  4. Step 4: Simplify right side
    520,578.50x = 1,114,388,477,316
  5. Step 5: Solve for x
    x = 1,114,388,477,316/520,578.50
  6. Step 6: Final answer
    x = 2,140,673.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.