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Finding the Third Proportional to 524,345 and 801,800

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Solution

The third proportional to 524,345 and 801,800 is: 1,226,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,345 : 801,800 = 801,800 : x
  2. Step 2: Convert to fraction form
    524,345/801,800 = 801,800/x
  3. Step 3: Cross multiply
    524,345x = 801,800 × 801,800
  4. Step 4: Simplify right side
    524,345x = 642,883,240,000
  5. Step 5: Solve for x
    x = 642,883,240,000/524,345
  6. Step 6: Final answer
    x = 1,226,069.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.