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Finding the Third Proportional to 525,033 and 792,360

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Solution

The third proportional to 525,033 and 792,360 is: 1,195,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,033 : 792,360 = 792,360 : x
  2. Step 2: Convert to fraction form
    525,033/792,360 = 792,360/x
  3. Step 3: Cross multiply
    525,033x = 792,360 × 792,360
  4. Step 4: Simplify right side
    525,033x = 627,834,369,600
  5. Step 5: Solve for x
    x = 627,834,369,600/525,033
  6. Step 6: Final answer
    x = 1,195,799.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.