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Finding the Third Proportional to 406,377 and 632,832.75

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Solution

The third proportional to 406,377 and 632,832.75 is: 985,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,377 : 632,832.75 = 632,832.75 : x
  2. Step 2: Convert to fraction form
    406,377/632,832.75 = 632,832.75/x
  3. Step 3: Cross multiply
    406,377x = 632,832.75 × 632,832.75
  4. Step 4: Simplify right side
    406,377x = 400,477,289,472.56
  5. Step 5: Solve for x
    x = 400,477,289,472.56/406,377
  6. Step 6: Final answer
    x = 985,482.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.