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Finding the Third Proportional to 524,833 and 835,518

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Solution

The third proportional to 524,833 and 835,518 is: 1,330,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,833 : 835,518 = 835,518 : x
  2. Step 2: Convert to fraction form
    524,833/835,518 = 835,518/x
  3. Step 3: Cross multiply
    524,833x = 835,518 × 835,518
  4. Step 4: Simplify right side
    524,833x = 698,090,328,324
  5. Step 5: Solve for x
    x = 698,090,328,324/524,833
  6. Step 6: Final answer
    x = 1,330,118.97

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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.