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Finding the Third Proportional to 524,800 and 835,468

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Solution

The third proportional to 524,800 and 835,468 is: 1,330,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,800 : 835,468 = 835,468 : x
  2. Step 2: Convert to fraction form
    524,800/835,468 = 835,468/x
  3. Step 3: Cross multiply
    524,800x = 835,468 × 835,468
  4. Step 4: Simplify right side
    524,800x = 698,006,779,024
  5. Step 5: Solve for x
    x = 698,006,779,024/524,800
  6. Step 6: Final answer
    x = 1,330,043.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.