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Finding the Third Proportional to 401,232 and 623,272.50

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Solution

The third proportional to 401,232 and 623,272.50 is: 968,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,232 : 623,272.50 = 623,272.50 : x
  2. Step 2: Convert to fraction form
    401,232/623,272.50 = 623,272.50/x
  3. Step 3: Cross multiply
    401,232x = 623,272.50 × 623,272.50
  4. Step 4: Simplify right side
    401,232x = 388,468,609,256.25
  5. Step 5: Solve for x
    x = 388,468,609,256.25/401,232
  6. Step 6: Final answer
    x = 968,189.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.