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Finding the Third Proportional to 624,271.13 and 934,697.25

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Solution

The third proportional to 624,271.13 and 934,697.25 is: 1,399,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,271.13 : 934,697.25 = 934,697.25 : x
  2. Step 2: Convert to fraction form
    624,271.13/934,697.25 = 934,697.25/x
  3. Step 3: Cross multiply
    624,271.13x = 934,697.25 × 934,697.25
  4. Step 4: Simplify right side
    624,271.13x = 873,658,949,157.56
  5. Step 5: Solve for x
    x = 873,658,949,157.56/624,271.13
  6. Step 6: Final answer
    x = 1,399,486.40

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Why These Related Problems?

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