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Finding the Third Proportional to 540,508 and 847,880

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Solution

The third proportional to 540,508 and 847,880 is: 1,330,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,508 : 847,880 = 847,880 : x
  2. Step 2: Convert to fraction form
    540,508/847,880 = 847,880/x
  3. Step 3: Cross multiply
    540,508x = 847,880 × 847,880
  4. Step 4: Simplify right side
    540,508x = 718,900,494,400
  5. Step 5: Solve for x
    x = 718,900,494,400/540,508
  6. Step 6: Final answer
    x = 1,330,045.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.