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Finding the Third Proportional to 514,088 and 800,380

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Solution

The third proportional to 514,088 and 800,380 is: 1,246,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,088 : 800,380 = 800,380 : x
  2. Step 2: Convert to fraction form
    514,088/800,380 = 800,380/x
  3. Step 3: Cross multiply
    514,088x = 800,380 × 800,380
  4. Step 4: Simplify right side
    514,088x = 640,608,144,400
  5. Step 5: Solve for x
    x = 640,608,144,400/514,088
  6. Step 6: Final answer
    x = 1,246,106.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.