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Finding the Third Proportional to 524,821.50 and 835,497

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Solution

The third proportional to 524,821.50 and 835,497 is: 1,330,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,821.50 : 835,497 = 835,497 : x
  2. Step 2: Convert to fraction form
    524,821.50/835,497 = 835,497/x
  3. Step 3: Cross multiply
    524,821.50x = 835,497 × 835,497
  4. Step 4: Simplify right side
    524,821.50x = 698,055,237,009
  5. Step 5: Solve for x
    x = 698,055,237,009/524,821.50
  6. Step 6: Final answer
    x = 1,330,081.25

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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.