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Finding the Third Proportional to 298,665 and 632,308.50

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Solution

The third proportional to 298,665 and 632,308.50 is: 1,338,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665 : 632,308.50 = 632,308.50 : x
  2. Step 2: Convert to fraction form
    298,665/632,308.50 = 632,308.50/x
  3. Step 3: Cross multiply
    298,665x = 632,308.50 × 632,308.50
  4. Step 4: Simplify right side
    298,665x = 399,814,039,172.25
  5. Step 5: Solve for x
    x = 399,814,039,172.25/298,665
  6. Step 6: Final answer
    x = 1,338,670.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.