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Finding the Third Proportional to 536,476 and 751,820

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Solution

The third proportional to 536,476 and 751,820 is: 1,053,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,476 : 751,820 = 751,820 : x
  2. Step 2: Convert to fraction form
    536,476/751,820 = 751,820/x
  3. Step 3: Cross multiply
    536,476x = 751,820 × 751,820
  4. Step 4: Simplify right side
    536,476x = 565,233,312,400
  5. Step 5: Solve for x
    x = 565,233,312,400/536,476
  6. Step 6: Final answer
    x = 1,053,604.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.