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Finding the Third Proportional to 524,823 and 835,503.75

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Solution

The third proportional to 524,823 and 835,503.75 is: 1,330,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,823 : 835,503.75 = 835,503.75 : x
  2. Step 2: Convert to fraction form
    524,823/835,503.75 = 835,503.75/x
  3. Step 3: Cross multiply
    524,823x = 835,503.75 × 835,503.75
  4. Step 4: Simplify right side
    524,823x = 698,066,516,264.06
  5. Step 5: Solve for x
    x = 698,066,516,264.06/524,823
  6. Step 6: Final answer
    x = 1,330,098.94

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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.