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Finding the Third Proportional to 421,528.50 and 632,308.50

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Solution

The third proportional to 421,528.50 and 632,308.50 is: 948,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,528.50 : 632,308.50 = 632,308.50 : x
  2. Step 2: Convert to fraction form
    421,528.50/632,308.50 = 632,308.50/x
  3. Step 3: Cross multiply
    421,528.50x = 632,308.50 × 632,308.50
  4. Step 4: Simplify right side
    421,528.50x = 399,814,039,172.25
  5. Step 5: Solve for x
    x = 399,814,039,172.25/421,528.50
  6. Step 6: Final answer
    x = 948,486.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.