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Finding the Third Proportional to 543,596 and 799,416

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Solution

The third proportional to 543,596 and 799,416 is: 1,175,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,596 : 799,416 = 799,416 : x
  2. Step 2: Convert to fraction form
    543,596/799,416 = 799,416/x
  3. Step 3: Cross multiply
    543,596x = 799,416 × 799,416
  4. Step 4: Simplify right side
    543,596x = 639,065,941,056
  5. Step 5: Solve for x
    x = 639,065,941,056/543,596
  6. Step 6: Final answer
    x = 1,175,626.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.