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Finding the Third Proportional to 624,360 and 934,035

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Solution

The third proportional to 624,360 and 934,035 is: 1,397,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,360 : 934,035 = 934,035 : x
  2. Step 2: Convert to fraction form
    624,360/934,035 = 934,035/x
  3. Step 3: Cross multiply
    624,360x = 934,035 × 934,035
  4. Step 4: Simplify right side
    624,360x = 872,421,381,225
  5. Step 5: Solve for x
    x = 872,421,381,225/624,360
  6. Step 6: Final answer
    x = 1,397,305.05

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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.