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Finding the Third Proportional to 404,283 and 632,308.50

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Solution

The third proportional to 404,283 and 632,308.50 is: 988,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,283 : 632,308.50 = 632,308.50 : x
  2. Step 2: Convert to fraction form
    404,283/632,308.50 = 632,308.50/x
  3. Step 3: Cross multiply
    404,283x = 632,308.50 × 632,308.50
  4. Step 4: Simplify right side
    404,283x = 399,814,039,172.25
  5. Step 5: Solve for x
    x = 399,814,039,172.25/404,283
  6. Step 6: Final answer
    x = 988,945.96

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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.