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Finding the Third Proportional to 406,440 and 632,919.50

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Solution

The third proportional to 406,440 and 632,919.50 is: 985,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,440 : 632,919.50 = 632,919.50 : x
  2. Step 2: Convert to fraction form
    406,440/632,919.50 = 632,919.50/x
  3. Step 3: Cross multiply
    406,440x = 632,919.50 × 632,919.50
  4. Step 4: Simplify right side
    406,440x = 400,587,093,480.25
  5. Step 5: Solve for x
    x = 400,587,093,480.25/406,440
  6. Step 6: Final answer
    x = 985,599.58

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