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Finding the Third Proportional to 406,436 and 632,913.50

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Solution

The third proportional to 406,436 and 632,913.50 is: 985,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436 : 632,913.50 = 632,913.50 : x
  2. Step 2: Convert to fraction form
    406,436/632,913.50 = 632,913.50/x
  3. Step 3: Cross multiply
    406,436x = 632,913.50 × 632,913.50
  4. Step 4: Simplify right side
    406,436x = 400,579,498,482.25
  5. Step 5: Solve for x
    x = 400,579,498,482.25/406,436
  6. Step 6: Final answer
    x = 985,590.59

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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.