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Finding the Third Proportional to 291,931.25 and 628,880.50

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Solution

The third proportional to 291,931.25 and 628,880.50 is: 1,354,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,931.25 : 628,880.50 = 628,880.50 : x
  2. Step 2: Convert to fraction form
    291,931.25/628,880.50 = 628,880.50/x
  3. Step 3: Cross multiply
    291,931.25x = 628,880.50 × 628,880.50
  4. Step 4: Simplify right side
    291,931.25x = 395,490,683,280.25
  5. Step 5: Solve for x
    x = 395,490,683,280.25/291,931.25
  6. Step 6: Final answer
    x = 1,354,739.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.